Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
501	Find Reduced Row Echelon Form	[[3,-2,0],[8,-3,4],[13,-2,0]]	$[\begin{array}{c} 3 & - 2 & 0 \\ 8 & - 3 & 4 \\ 13 & - 2 & 0 \end{array}]$ $[\begin{array}{c} 3 & - 2 & 0 \\ 8 & - 3 & 4 \\ 13 & - 2 & 0 \end{array}]$
502	Find Reduced Row Echelon Form	[[2,4,-1,-2,2,6],[1,3,2,-7,3,9],[5,8,-7,6,1,4]]	$[\begin{array}{c} 2 & 4 & - 1 & - 2 & 2 & 6 \\ 1 & 3 & 2 & - 7 & 3 & 9 \\ 5 & 8 & - 7 & 6 & 1 & 4 \end{array}]$ $[\begin{array}{c} 2 & 4 & - 1 & - 2 & 2 & 6 \\ 1 & 3 & 2 & - 7 & 3 & 9 \\ 5 & 8 & - 7 & 6 & 1 & 4 \end{array}]$
503	Find Reduced Row Echelon Form	[[-3,-2],[4,4],[5,7]]	$[\begin{array}{c} - 3 & - 2 \\ 4 & 4 \\ 5 & 7 \end{array}]$ $[\begin{array}{c} - 3 & - 2 \\ 4 & 4 \\ 5 & 7 \end{array}]$
504	Find Reduced Row Echelon Form	[[1,2],[2,-2]]	$[\begin{array}{c} 1 & 2 \\ 2 & - 2 \end{array}]$ $[\begin{array}{c} 1 & 2 \\ 2 & - 2 \end{array}]$
505	Find Reduced Row Echelon Form	[[1,2,0,0],[3,4,0,0]]	$[\begin{array}{c} 1 & 2 & 0 & 0 \\ 3 & 4 & 0 & 0 \end{array}]$ $[\begin{array}{c} 1 & 2 & 0 & 0 \\ 3 & 4 & 0 & 0 \end{array}]$
506	Find Reduced Row Echelon Form	[[1,3,6],[1,4,5]]	$[\begin{array}{c} 1 & 3 & 6 \\ 1 & 4 & 5 \end{array}]$ $[\begin{array}{c} 1 & 3 & 6 \\ 1 & 4 & 5 \end{array}]$
507	Find Reduced Row Echelon Form	[[1,2,7],[2,1,8]]	$[\begin{array}{c} 1 & 2 & 7 \\ 2 & 1 & 8 \end{array}]$ $[\begin{array}{c} 1 & 2 & 7 \\ 2 & 1 & 8 \end{array}]$
508	Find Reduced Row Echelon Form	[[1,2,-9,-8],[0,1,7,-3],[0,0,1,7]]	$[\begin{array}{c} 1 & 2 & - 9 & - 8 \\ 0 & 1 & 7 & - 3 \\ 0 & 0 & 1 & 7 \end{array}]$ $[\begin{array}{c} 1 & 2 & - 9 & - 8 \\ 0 & 1 & 7 & - 3 \\ 0 & 0 & 1 & 7 \end{array}]$
509	Find Reduced Row Echelon Form	[[1,2]]	$[\begin{array}{c} 1 & 2 \end{array}]$ $[\begin{array}{c} 1 & 2 \end{array}]$
510	Find Reduced Row Echelon Form	[[1,-3,4,7],[0,1,2,2],[0,0,1,5]]	$[\begin{array}{c} 1 & - 3 & 4 & 7 \\ 0 & 1 & 2 & 2 \\ 0 & 0 & 1 & 5 \end{array}]$ $[\begin{array}{c} 1 & - 3 & 4 & 7 \\ 0 & 1 & 2 & 2 \\ 0 & 0 & 1 & 5 \end{array}]$
511	Find Reduced Row Echelon Form	[[1,-3,5,-2],[2,-1,5,6]]	$[\begin{array}{c} 1 & - 3 & 5 & - 2 \\ 2 & - 1 & 5 & 6 \end{array}]$ $[\begin{array}{c} 1 & - 3 & 5 & - 2 \\ 2 & - 1 & 5 & 6 \end{array}]$
512	Find Reduced Row Echelon Form	[[-1,5],[0,0]]	$[\begin{array}{c} - 1 & 5 \\ 0 & 0 \end{array}]$ $[\begin{array}{c} - 1 & 5 \\ 0 & 0 \end{array}]$
513	Find Reduced Row Echelon Form	[[1,h,4],[3,6,8]]	$[\begin{array}{c} 1 & h & 4 \\ 3 & 6 & 8 \end{array}]$ $[\begin{array}{c} 1 & h & 4 \\ 3 & 6 & 8 \end{array}]$
514	Find the Inverse	[[7,2,4],[6,6,3],[8,4,9]]	$[\begin{array}{c} 7 & 2 & 4 \\ 6 & 6 & 3 \\ 8 & 4 & 9 \end{array}]$ $[\begin{array}{c} 7 & 2 & 4 \\ 6 & 6 & 3 \\ 8 & 4 & 9 \end{array}]$
515	Find the Inverse	[[12,23],[12,23]]	$[\begin{array}{c} 12 & 23 \\ 12 & 23 \end{array}]$ $[\begin{array}{c} 12 & 23 \\ 12 & 23 \end{array}]$
516	Find the Inverse	[[2,6,9],[-1,1,3],[4,4,0]]	$[\begin{array}{c} 2 & 6 & 9 \\ - 1 & 1 & 3 \\ 4 & 4 & 0 \end{array}]$ $[\begin{array}{c} 2 & 6 & 9 \\ - 1 & 1 & 3 \\ 4 & 4 & 0 \end{array}]$
517	Find the Inverse	[[-6,-9,-8],[2,9,6],[0,1,-1]]	$[\begin{array}{c} - 6 & - 9 & - 8 \\ 2 & 9 & 6 \\ 0 & 1 & - 1 \end{array}]$ $[\begin{array}{c} - 6 & - 9 & - 8 \\ 2 & 9 & 6 \\ 0 & 1 & - 1 \end{array}]$
518	Find Reduced Row Echelon Form	[[0,0,0,0,1,0,1,1],[0,0,0,1,0,1,1,0],[0,0,1,0,1,1,0,0],[0,1,0,1,1,0,0,0]]	$[\begin{array}{c} 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 \\ 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 \\ 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 \\ 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 \end{array}]$ $[\begin{array}{c} 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 \\ 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 \\ 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 \\ 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 \end{array}]$
519	Find Reduced Row Echelon Form	[[1,0,-3,8],[2,2,9,7],[0,1,5,-2]]	$[\begin{array}{c} 1 & 0 & - 3 & 8 \\ 2 & 2 & 9 & 7 \\ 0 & 1 & 5 & - 2 \end{array}]$ $[\begin{array}{c} 1 & 0 & - 3 & 8 \\ 2 & 2 & 9 & 7 \\ 0 & 1 & 5 & - 2 \end{array}]$
520	Find Reduced Row Echelon Form	[[1,0,1],[3,0,3],[0,1,-1],[3,1,2]]	$[\begin{array}{c} 1 & 0 & 1 \\ 3 & 0 & 3 \\ 0 & 1 & - 1 \\ 3 & 1 & 2 \end{array}]$ $[\begin{array}{c} 1 & 0 & 1 \\ 3 & 0 & 3 \\ 0 & 1 & - 1 \\ 3 & 1 & 2 \end{array}]$
521	Find Reduced Row Echelon Form	[[1,1,0,1,-2],[1,-1,0,-1,2]]	$[\begin{array}{c} 1 & 1 & 0 & 1 & - 2 \\ 1 & - 1 & 0 & - 1 & 2 \end{array}]$ $[\begin{array}{c} 1 & 1 & 0 & 1 & - 2 \\ 1 & - 1 & 0 & - 1 & 2 \end{array}]$
522	Find Reduced Row Echelon Form	[[1,-1,1,-1],[2,1,-3,8],[1,-2,3,-5]]	$[\begin{array}{c} 1 & - 1 & 1 & - 1 \\ 2 & 1 & - 3 & 8 \\ 1 & - 2 & 3 & - 5 \end{array}]$ $[\begin{array}{c} 1 & - 1 & 1 & - 1 \\ 2 & 1 & - 3 & 8 \\ 1 & - 2 & 3 & - 5 \end{array}]$
523	Find the Inverse	[[1,2,3],[4,5,6],[7,8,9]]	$[\begin{array}{c} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{array}]$ $[\begin{array}{c} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{array}]$
524	Find the Inverse	[[1,1,1],[0,2,3],[5,5,1]]	$[\begin{array}{c} 1 & 1 & 1 \\ 0 & 2 & 3 \\ 5 & 5 & 1 \end{array}]$ $[\begin{array}{c} 1 & 1 & 1 \\ 0 & 2 & 3 \\ 5 & 5 & 1 \end{array}]$
525	Find the Inverse	[[1,1,1],[3,5,4],[3,6,5]]	$[\begin{array}{c} 1 & 1 & 1 \\ 3 & 5 & 4 \\ 3 & 6 & 5 \end{array}]$ $[\begin{array}{c} 1 & 1 & 1 \\ 3 & 5 & 4 \\ 3 & 6 & 5 \end{array}]$
526	Find the Inverse	[[1,-1],[-1,0]]	$[\begin{array}{c} 1 & - 1 \\ - 1 & 0 \end{array}]$ $[\begin{array}{c} 1 & - 1 \\ - 1 & 0 \end{array}]$
527	Find the Inverse	[[1,-1],[1,1]]	$[\begin{array}{c} 1 & - 1 \\ 1 & 1 \end{array}]$ $[\begin{array}{c} 1 & - 1 \\ 1 & 1 \end{array}]$
528	Find the Inverse	[[1,2],[4,6]]	$[\begin{array}{c} 1 & 2 \\ 4 & 6 \end{array}]$ $[\begin{array}{c} 1 & 2 \\ 4 & 6 \end{array}]$
529	Find the Inverse	[[19,11,21],[9,0,10],[10,12,11]]	$[\begin{array}{c} 19 & 11 & 21 \\ 9 & 0 & 10 \\ 10 & 12 & 11 \end{array}]$ $[\begin{array}{c} 19 & 11 & 21 \\ 9 & 0 & 10 \\ 10 & 12 & 11 \end{array}]$
530	Find the Inverse	[[1,2,3],[0,1,-1],[2,2,2]]	$[\begin{array}{c} 1 & 2 & 3 \\ 0 & 1 & - 1 \\ 2 & 2 & 2 \end{array}]$ $[\begin{array}{c} 1 & 2 & 3 \\ 0 & 1 & - 1 \\ 2 & 2 & 2 \end{array}]$
531	Find the Inverse	[[1,2],[2,4]]	$[\begin{array}{c} 1 & 2 \\ 2 & 4 \end{array}]$ $[\begin{array}{c} 1 & 2 \\ 2 & 4 \end{array}]$
532	Find the Inverse	[[10,-2,5],[6,-1,4],[1,0,1]]	$[\begin{array}{c} 10 & - 2 & 5 \\ 6 & - 1 & 4 \\ 1 & 0 & 1 \end{array}]$ $[\begin{array}{c} 10 & - 2 & 5 \\ 6 & - 1 & 4 \\ 1 & 0 & 1 \end{array}]$
533	Find the Inverse	[[-2,3],[1,-2]]	$[\begin{array}{c} - 2 & 3 \\ 1 & - 2 \end{array}]$ $[\begin{array}{c} - 2 & 3 \\ 1 & - 2 \end{array}]$
534	Find the Inverse	[[-4,10],[5,6]]	$[\begin{array}{c} - 4 & 10 \\ 5 & 6 \end{array}]$ $[\begin{array}{c} - 4 & 10 \\ 5 & 6 \end{array}]$
535	Find the Inverse	[[4,104.7,2755.57,72917.727],[104.7,2755.7,72917.727,1939880.3089],[2755.7,72917.727,1939880.3089,51878323.13217],[72917.727,1939880.3089,51878323.13217,1394447102.92762]]	$[\begin{array}{c} 4 & 104.7 & 2755.57 & 72917.727 \\ 104.7 & 2755.7 & 72917.727 & 1939880.3089 \\ 2755.7 & 72917.727 & 1939880.3089 & 51878323.13217 \\ 72917.727 & 1939880.3089 & 51878323.13217 & 1394447102.92762 \end{array}]$ $[\begin{array}{c} 4 & 104.7 & 2755.57 & 72917.727 \\ 104.7 & 2755.7 & 72917.727 & 1939880.3089 \\ 2755.7 & 72917.727 & 1939880.3089 & 51878323.13217 \\ 72917.727 & 1939880.3089 & 51878323.13217 & 1394447102.92762 \end{array}]$
536	Find the Determinant	[[a,b,0,0],[c,d,0,0],[0,0,a,-b],[0,0,c,d]]	$[\begin{array}{c} a & b & 0 & 0 \\ c & d & 0 & 0 \\ 0 & 0 & a & - b \\ 0 & 0 & c & d \end{array}]$ $[\begin{array}{c} a & b & 0 & 0 \\ c & d & 0 & 0 \\ 0 & 0 & a & - b \\ 0 & 0 & c & d \end{array}]$
537	Find the Determinant	[[3,1,2],[5,3,-6],[2,4,3]]	$[\begin{array}{c} 3 & 1 & 2 \\ 5 & 3 & - 6 \\ 2 & 4 & 3 \end{array}]$ $[\begin{array}{c} 3 & 1 & 2 \\ 5 & 3 & - 6 \\ 2 & 4 & 3 \end{array}]$
538	Find the Determinant	[[a,b,c],[d,e,f],[4g,4h,4i]]	$[\begin{array}{c} a & b & c \\ d & e & f \\ 4 g & 4 h & 4 i \end{array}]$ $[\begin{array}{c} a & b & c \\ d & e & f \\ 4 g & 4 h & 4 i \end{array}]$
539	Find the Determinant	[[x,-1/5,-1/5],[-1/5,x,-1/5],[-1/5,-1/5,x]]	$[\begin{array}{c} x & - \frac{1}{5} & - \frac{1}{5} \\ - \frac{1}{5} & x & - \frac{1}{5} \\ - \frac{1}{5} & - \frac{1}{5} & x \end{array}]$ $[\begin{array}{c} x & - \frac{1}{5} & - \frac{1}{5} \\ - \frac{1}{5} & x & - \frac{1}{5} \\ - \frac{1}{5} & - \frac{1}{5} & x \end{array}]$
540	Find the Determinant	[[a,-2b,3d],[4a,b,-d],[2a,-b,3d]]	$[\begin{array}{c} a & - 2 b & 3 d \\ 4 a & b & - d \\ 2 a & - b & 3 d \end{array}]$ $[\begin{array}{c} a & - 2 b & 3 d \\ 4 a & b & - d \\ 2 a & - b & 3 d \end{array}]$
541	Find the Inverse	M=[[1,8],[-1,-7]]	$M = [\begin{array}{c} 1 & 8 \\ - 1 & - 7 \end{array}]$ $M = [\begin{array}{c} 1 & 8 \\ - 1 & - 7 \end{array}]$
542	Find the Inverse	[[0,1,-3],[2,3,-1],[4,5,-2]]	$[\begin{array}{c} 0 & 1 & - 3 \\ 2 & 3 & - 1 \\ 4 & 5 & - 2 \end{array}]$ $[\begin{array}{c} 0 & 1 & - 3 \\ 2 & 3 & - 1 \\ 4 & 5 & - 2 \end{array}]$
543	Find the Inverse	[[1,0,0],[0,1,0],[0,0,1]]	$[\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array}]$ $[\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array}]$
544	Find the Determinant	[[x,1,0,0],[1,x,1,1],[0,1,x,1],[0,1,1,x]]	$[\begin{array}{c} x & 1 & 0 & 0 \\ 1 & x & 1 & 1 \\ 0 & 1 & x & 1 \\ 0 & 1 & 1 & x \end{array}]$ $[\begin{array}{c} x & 1 & 0 & 0 \\ 1 & x & 1 & 1 \\ 0 & 1 & x & 1 \\ 0 & 1 & 1 & x \end{array}]$
545	Find the Determinant	[[x,y,z],[x^2,y^2,z^2],[x^3,y^3,z^3]]	$[\begin{array}{c} x & y & z \\ x^{2} & y^{2} & z^{2} \\ x^{3} & y^{3} & z^{3} \end{array}]$ $[\begin{array}{c} x & y & z \\ x^{2} & y^{2} & z^{2} \\ x^{3} & y^{3} & z^{3} \end{array}]$
546	Find the Inverse	[[0,1,2],[1,0,3],[4,-3,8]]	$[\begin{array}{c} 0 & 1 & 2 \\ 1 & 0 & 3 \\ 4 & - 3 & 8 \end{array}]$ $[\begin{array}{c} 0 & 1 & 2 \\ 1 & 0 & 3 \\ 4 & - 3 & 8 \end{array}]$
547	Find the Inverse	[[1,1,0],[3,1,1],[0,1,-1]]	$[\begin{array}{c} 1 & 1 & 0 \\ 3 & 1 & 1 \\ 0 & 1 & - 1 \end{array}]$ $[\begin{array}{c} 1 & 1 & 0 \\ 3 & 1 & 1 \\ 0 & 1 & - 1 \end{array}]$
548	Find the Determinant	[[4,5],[0,0]]	$[\begin{array}{c} 4 & 5 \\ 0 & 0 \end{array}]$ $[\begin{array}{c} 4 & 5 \\ 0 & 0 \end{array}]$
549	Find the Determinant	[[6,3,2,4,0],[9,0,-4,1,0],[8,-5,6,7,1],[3,0,0,0,0],[4,2,3,2,0]]	$[\begin{array}{c} 6 & 3 & 2 & 4 & 0 \\ 9 & 0 & - 4 & 1 & 0 \\ 8 & - 5 & 6 & 7 & 1 \\ 3 & 0 & 0 & 0 & 0 \\ 4 & 2 & 3 & 2 & 0 \end{array}]$ $[\begin{array}{c} 6 & 3 & 2 & 4 & 0 \\ 9 & 0 & - 4 & 1 & 0 \\ 8 & - 5 & 6 & 7 & 1 \\ 3 & 0 & 0 & 0 & 0 \\ 4 & 2 & 3 & 2 & 0 \end{array}]$
550	Find the Determinant	[[7,9],[-2,-5]]	$[\begin{array}{c} 7 & 9 \\ - 2 & - 5 \end{array}]$ $[\begin{array}{c} 7 & 9 \\ - 2 & - 5 \end{array}]$
551	Find the Determinant	[[5,0,0],[0,5,0],[0,0,5]]	$[\begin{array}{c} 5 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 5 \end{array}]$ $[\begin{array}{c} 5 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 5 \end{array}]$
552	Find the Determinant	[[2,2,1],[-3,1,0],[1,-1,2]]	$[\begin{array}{c} 2 & 2 & 1 \\ - 3 & 1 & 0 \\ 1 & - 1 & 2 \end{array}]$ $[\begin{array}{c} 2 & 2 & 1 \\ - 3 & 1 & 0 \\ 1 & - 1 & 2 \end{array}]$
553	Find the Determinant	[[3,-1,4],[6,3,5],[2,-1,6]]	$[\begin{array}{c} 3 & - 1 & 4 \\ 6 & 3 & 5 \\ 2 & - 1 & 6 \end{array}]$ $[\begin{array}{c} 3 & - 1 & 4 \\ 6 & 3 & 5 \\ 2 & - 1 & 6 \end{array}]$
554	Find the Determinant	[[5,8,6],[4,2,3],[6,0,1]]	$[\begin{array}{c} 5 & 8 & 6 \\ 4 & 2 & 3 \\ 6 & 0 & 1 \end{array}]$ $[\begin{array}{c} 5 & 8 & 6 \\ 4 & 2 & 3 \\ 6 & 0 & 1 \end{array}]$
555	Find the Determinant	[[-2,-3,5,-7],[3,2,-2,5],[1,-2,4,-2],[2,5,-7,5]]	$[\begin{array}{c} - 2 & - 3 & 5 & - 7 \\ 3 & 2 & - 2 & 5 \\ 1 & - 2 & 4 & - 2 \\ 2 & 5 & - 7 & 5 \end{array}]$ $[\begin{array}{c} - 2 & - 3 & 5 & - 7 \\ 3 & 2 & - 2 & 5 \\ 1 & - 2 & 4 & - 2 \\ 2 & 5 & - 7 & 5 \end{array}]$
556	Find the Determinant	[[3,-2,1],[1,-3,4],[1,-2,0]]	$[\begin{array}{c} 3 & - 2 & 1 \\ 1 & - 3 & 4 \\ 1 & - 2 & 0 \end{array}]$ $[\begin{array}{c} 3 & - 2 & 1 \\ 1 & - 3 & 4 \\ 1 & - 2 & 0 \end{array}]$
557	Find the Determinant	[[1,2,3],[4,5,6],[7,8,0]]	$[\begin{array}{c} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 0 \end{array}]$ $[\begin{array}{c} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 0 \end{array}]$
558	Multiply the Matrices	[[0,-1],[-3,7],[2,-9]][[0,8,0],[1,0,0],[0,0,1]]	$[\begin{array}{c} 0 & - 1 \\ - 3 & 7 \\ 2 & - 9 \end{array}] [\begin{array}{c} 0 & 8 & 0 \\ 1 & 0 & 0 \\ 0 & 0 & 1 \end{array}]$ $[\begin{array}{c} 0 & - 1 \\ - 3 & 7 \\ 2 & - 9 \end{array}] [\begin{array}{c} 0 & 8 & 0 \\ 1 & 0 & 0 \\ 0 & 0 & 1 \end{array}]$
559	Find the Determinant	[[1,2,0],[2,1,-1],[3,1,1]]	$[\begin{array}{c} 1 & 2 & 0 \\ 2 & 1 & - 1 \\ 3 & 1 & 1 \end{array}]$ $[\begin{array}{c} 1 & 2 & 0 \\ 2 & 1 & - 1 \\ 3 & 1 & 1 \end{array}]$
560	Find the Determinant	[[2,1],[1,2]]	$[\begin{array}{c} 2 & 1 \\ 1 & 2 \end{array}]$ $[\begin{array}{c} 2 & 1 \\ 1 & 2 \end{array}]$
561	Find the Determinant	[[2,1],[3,2]]	$[\begin{array}{c} 2 & 1 \\ 3 & 2 \end{array}]$ $[\begin{array}{c} 2 & 1 \\ 3 & 2 \end{array}]$
562	Find the Determinant	[[1-x,1,-2],[-1,2-x,1],[0,1,-1-x]]	$[\begin{array}{c} 1 - x & 1 & - 2 \\ - 1 & 2 - x & 1 \\ 0 & 1 & - 1 - x \end{array}]$ $[\begin{array}{c} 1 - x & 1 & - 2 \\ - 1 & 2 - x & 1 \\ 0 & 1 & - 1 - x \end{array}]$
563	Find the Determinant	[[1,-4,2],[-2,8,-9],[-1,7,0]]	$[\begin{array}{c} 1 & - 4 & 2 \\ - 2 & 8 & - 9 \\ - 1 & 7 & 0 \end{array}]$ $[\begin{array}{c} 1 & - 4 & 2 \\ - 2 & 8 & - 9 \\ - 1 & 7 & 0 \end{array}]$
564	Find the Determinant	[[1,0,1],[2,-1,2],[1,-2,3]]	$[\begin{array}{c} 1 & 0 & 1 \\ 2 & - 1 & 2 \\ 1 & - 2 & 3 \end{array}]$ $[\begin{array}{c} 1 & 0 & 1 \\ 2 & - 1 & 2 \\ 1 & - 2 & 3 \end{array}]$
565	Find the Determinant	[[1,0,1],[2,2,2],[2,2,1]]	$[\begin{array}{c} 1 & 0 & 1 \\ 2 & 2 & 2 \\ 2 & 2 & 1 \end{array}]$ $[\begin{array}{c} 1 & 0 & 1 \\ 2 & 2 & 2 \\ 2 & 2 & 1 \end{array}]$
566	Find the Determinant	[[-1,1,1],[4,3,-5],[-1,-3,-4]]	$[\begin{array}{c} - 1 & 1 & 1 \\ 4 & 3 & - 5 \\ - 1 & - 3 & - 4 \end{array}]$ $[\begin{array}{c} - 1 & 1 & 1 \\ 4 & 3 & - 5 \\ - 1 & - 3 & - 4 \end{array}]$
567	Find the Determinant	[[1,1,1],[2,-1,1],[-1,3,-1]]	$[\begin{array}{c} 1 & 1 & 1 \\ 2 & - 1 & 1 \\ - 1 & 3 & - 1 \end{array}]$ $[\begin{array}{c} 1 & 1 & 1 \\ 2 & - 1 & 1 \\ - 1 & 3 & - 1 \end{array}]$
568	Find the Determinant	[[1,2,1],[-2,1,2],[1,2,1]]	$[\begin{array}{c} 1 & 2 & 1 \\ - 2 & 1 & 2 \\ 1 & 2 & 1 \end{array}]$ $[\begin{array}{c} 1 & 2 & 1 \\ - 2 & 1 & 2 \\ 1 & 2 & 1 \end{array}]$
569	Simplify the Matrix	[[1,2,-3],[4,0,2]]+[[-1,6,3],[8,12,14]]	$[\begin{array}{c} 1 & 2 & - 3 \\ 4 & 0 & 2 \end{array}] + [\begin{array}{c} - 1 & 6 & 3 \\ 8 & 12 & 14 \end{array}]$ $[\begin{array}{c} 1 & 2 & - 3 \\ 4 & 0 & 2 \end{array}] + [\begin{array}{c} - 1 & 6 & 3 \\ 8 & 12 & 14 \end{array}]$
570	Multiply the Matrices	3[[2,4]]	$3 [\begin{array}{c} 2 & 4 \end{array}]$ $3 [\begin{array}{c} 2 & 4 \end{array}]$
571	Simplify the Matrix	[[-1,-1,-3],[-1,1,0],[1,0,1]][[3,1,3],[1,3,3],[-1,-1,-1]][[1,1,3],[1,2,3],[-1,-1,-2]]	$[\begin{array}{c} - 1 & - 1 & - 3 \\ - 1 & 1 & 0 \\ 1 & 0 & 1 \end{array}] [\begin{array}{c} 3 & 1 & 3 \\ 1 & 3 & 3 \\ - 1 & - 1 & - 1 \end{array}] [\begin{array}{c} 1 & 1 & 3 \\ 1 & 2 & 3 \\ - 1 & - 1 & - 2 \end{array}]$ $[\begin{array}{c} - 1 & - 1 & - 3 \\ - 1 & 1 & 0 \\ 1 & 0 & 1 \end{array}] [\begin{array}{c} 3 & 1 & 3 \\ 1 & 3 & 3 \\ - 1 & - 1 & - 1 \end{array}] [\begin{array}{c} 1 & 1 & 3 \\ 1 & 2 & 3 \\ - 1 & - 1 & - 2 \end{array}]$
572	Simplify the Matrix	[[6,-3,h],[-24,12,7]]	$[\begin{array}{c} 6 & - 3 & h \\ - 24 & 12 & 7 \end{array}]$ $[\begin{array}{c} 6 & - 3 & h \\ - 24 & 12 & 7 \end{array}]$
573	Simplify the Matrix	[[1,1,0],[-3,0,1],[0,-2,1]][[a],[a^2],[T]]	$[\begin{array}{c} 1 & 1 & 0 \\ - 3 & 0 & 1 \\ 0 & - 2 & 1 \end{array}] [\begin{array}{c} a \\ a^{2} \\ T \end{array}]$ $[\begin{array}{c} 1 & 1 & 0 \\ - 3 & 0 & 1 \\ 0 & - 2 & 1 \end{array}] [\begin{array}{c} a \\ a^{2} \\ T \end{array}]$
574	Simplify the Matrix	[[4,5,3],[5,3,4]][[4,5,5,2],[1,6,3,2],[4,5,6,6],[2,4,9,4]]	$[\begin{array}{c} 4 & 5 & 3 \\ 5 & 3 & 4 \end{array}] [\begin{array}{c} 4 & 5 & 5 & 2 \\ 1 & 6 & 3 & 2 \\ 4 & 5 & 6 & 6 \\ 2 & 4 & 9 & 4 \end{array}]$ $[\begin{array}{c} 4 & 5 & 3 \\ 5 & 3 & 4 \end{array}] [\begin{array}{c} 4 & 5 & 5 & 2 \\ 1 & 6 & 3 & 2 \\ 4 & 5 & 6 & 6 \\ 2 & 4 & 9 & 4 \end{array}]$
575	Simplify the Matrix	x=[[-1,1],[2,-2]]	$x = [\begin{array}{c} - 1 & 1 \\ 2 & - 2 \end{array}]$ $x = [\begin{array}{c} - 1 & 1 \\ 2 & - 2 \end{array}]$
576	Write as a Vector Equality	-3x-4y=2 , 8y=-6x-4	$- 3 x - 4 y = 2$ $- 3 x - 4 y = 2$ , $8 y = - 6 x - 4$ $8 y = - 6 x - 4$
577	Write as a Vector Equality	4ax-3y=7 , -x-by=8	$4 a x - 3 y = 7$ $4 a x - 3 y = 7$ , $- x - b y = 8$ $- x - b y = 8$
578	Write as a Vector Equality	-4x+5y=-35 , -x-5y=10	$- 4 x + 5 y = - 35$ $- 4 x + 5 y = - 35$ , $- x - 5 y = 10$ $- x - 5 y = 10$
579	Write as a Vector Equality	-4x-8y=-4 , 5x+10y=0	$- 4 x - 8 y = - 4$ $- 4 x - 8 y = - 4$ , $5 x + 10 y = 0$ $5 x + 10 y = 0$
580	Solve by Substitution	11x-20y=28 , 3x+4y=36	$11 x - 20 y = 28$ $11 x - 20 y = 28$ , $3 x + 4 y = 36$ $3 x + 4 y = 36$
581	Solve by Substitution	3x+7y+2=0 , 12x+28y-6=0	$3 x + 7 y + 2 = 0$ $3 x + 7 y + 2 = 0$ , $12 x + 28 y - 6 = 0$ $12 x + 28 y - 6 = 0$
582	Write as a Vector Equality	2x+7y=9 , 5x+7y=5	$2 x + 7 y = 9$ $2 x + 7 y = 9$ , $5 x + 7 y = 5$ $5 x + 7 y = 5$
583	Solve Using a Matrix by Elimination	x-9=y , x+y=6	$x - 9 = y$ $x - 9 = y$ , $x + y = 6$ $x + y = 6$
584	Write as a Vector Equality	x-2y=1 , 3x-6y=2	$x - 2 y = 1$ $x - 2 y = 1$ , $3 x - 6 y = 2$ $3 x - 6 y = 2$
585	Write as a Vector Equality	1/x+2/y-4/z=1 , 2/x+3/y+8/z=0 , -1/x+9/y+10/z=5	$\frac{1}{x} + \frac{2}{y} - \frac{4}{z} = 1$ $\frac{1}{x} + \frac{2}{y} - \frac{4}{z} = 1$ , $\frac{2}{x} + \frac{3}{y} + \frac{8}{z} = 0$ $\frac{2}{x} + \frac{3}{y} + \frac{8}{z} = 0$ , $- \frac{1}{x} + \frac{9}{y} + \frac{10}{z} = 5$ $- \frac{1}{x} + \frac{9}{y} + \frac{10}{z} = 5$
586	Write as a Vector Equality	x-5y=-5 , -x+5y=5	$x - 5 y = - 5$ $x - 5 y = - 5$ , $- x + 5 y = 5$ $- x + 5 y = 5$
587	Write as a Vector Equality	2d+3g-h=a , d-g+3h=b , 3d+7g-5h=c	$2 d + 3 g - h = a$ $2 d + 3 g - h = a$ , $d - g + 3 h = b$ $d - g + 3 h = b$ , $3 d + 7 g - 5 h = c$ $3 d + 7 g - 5 h = c$
588	Write as a Vector Equality	2a+b-d-2g+2h+j+5k=21 , a+b-3d+g+h+j+2k=-5 , a+2b-8d+5g+h+j-6k=-15 , 3a+3b-9d+3g+6h+5j+2k=-24 , -2a-b+d+2g+h+j-9k=-30	$2 a + b - d - 2 g + 2 h + j + 5 k = 21$ $2 a + b - d - 2 g + 2 h + j + 5 k = 21$ , $a + b - 3 d + g + h + j + 2 k = - 5$ $a + b - 3 d + g + h + j + 2 k = - 5$ , $a + 2 b - 8 d + 5 g + h + j - 6 k = - 15$ $a + 2 b - 8 d + 5 g + h + j - 6 k = - 15$ , $3 a + 3 b - 9 d + 3 g + 6 h + 5 j + 2 k = - 24$ $3 a + 3 b - 9 d + 3 g + 6 h + 5 j + 2 k = - 24$ , $- 2 a - b + d + 2 g + h + j - 9 k = - 30$ $- 2 a - b + d + 2 g + h + j - 9 k = - 30$
589	Find the Domain	4x-y=8	$4 x - y = 8$ $4 x - y = 8$
590	Find the Domain	y=x+5	$y = x + 5$ $y = x + 5$
591	Find the Domain	y=x+6	$y = x + 6$ $y = x + 6$
592	Solve by Substitution	2x+3y=6 , 4x+6y=24	$2 x + 3 y = 6$ $2 x + 3 y = 6$ , $4 x + 6 y = 24$ $4 x + 6 y = 24$
593	Find the Domain	y=7	$y = 7$ $y = 7$
594	Find the Domain	y=x+2	$y = x + 2$ $y = x + 2$
595	Find the Domain	y=x+1	$y = x + 1$ $y = x + 1$
596	Find the Domain	y=x+4	$y = x + 4$ $y = x + 4$
597	Find the Domain	y=-x	$y = - x$ $y = - x$
598	Find the Norm	[[2-2i],[4+4i],[4-1i]]	$[\begin{array}{c} 2 - 2 i \\ 4 + 4 i \\ 4 - 1 i \end{array}]$ $[\begin{array}{c} 2 - 2 i \\ 4 + 4 i \\ 4 - 1 i \end{array}]$
599	Write as a Vector Equality	x^2-4x^3+3x^4=2 , x-5x^2-6x^3+3x^4=3 , -3x^4=15 , 5x^3-4x^4=10	$x^{2} - 4 x^{3} + 3 x^{4} = 2$ $x^{2} - 4 x^{3} + 3 x^{4} = 2$ , $x - 5 x^{2} - 6 x^{3} + 3 x^{4} = 3$ $x - 5 x^{2} - 6 x^{3} + 3 x^{4} = 3$ , $- 3 x^{4} = 15$ $- 3 x^{4} = 15$ , $5 x^{3} - 4 x^{4} = 10$ $5 x^{3} - 4 x^{4} = 10$
600	Write as a Vector Equality	3(1)+6(1)+6=0 , 8(y)=4(2)+24	$3 (1) + 6 (1) + 6 = 0$ $3 (1) + 6 (1) + 6 = 0$ , $8 (y) = 4 (2) + 24$ $8 (y) = 4 (2) + 24$