Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
6501	Find Pivot Positions and Pivot Columns	[[2,5,0,5],[1,0,-3,-2],[2,-1,2,4]]	$[\begin{array}{c} 2 & 5 & 0 & 5 \\ 1 & 0 & - 3 & - 2 \\ 2 & - 1 & 2 & 4 \end{array}]$
6502	Find Pivot Positions and Pivot Columns	[[-2,-5,8,0,17,0],[1,3,-5,1,5,0],[3,11,-19,7,1,0],[1,7,-13,5,-3,0]]	$[\begin{array}{c} - 2 & - 5 & 8 & 0 & 17 & 0 \\ 1 & 3 & - 5 & 1 & 5 & 0 \\ 3 & 11 & - 19 & 7 & 1 & 0 \\ 1 & 7 & - 13 & 5 & - 3 & 0 \end{array}]$
6503	Find Pivot Positions and Pivot Columns	[[2,-5,8,0],[-2,-7,1,0],[4,2,7,0]]	$[\begin{array}{c} 2 & - 5 & 8 & 0 \\ - 2 & - 7 & 1 & 0 \\ 4 & 2 & 7 & 0 \end{array}]$
6504	Find Pivot Positions and Pivot Columns	[[2,6,7,-8,-9,6,5,0,1,11],[1,5,7,0,0,0,1,-2,-3,-8]]	$[\begin{array}{c} 2 & 6 & 7 & - 8 & - 9 & 6 & 5 & 0 & 1 & 11 \\ 1 & 5 & 7 & 0 & 0 & 0 & 1 & - 2 & - 3 & - 8 \end{array}]$
6505	Find Pivot Positions and Pivot Columns	[[2,6,a],[1,2,b]]	$[\begin{array}{c} 2 & 6 & a \\ 1 & 2 & b \end{array}]$
6506	Find Pivot Positions and Pivot Columns	[[2,8],[4,1],[2,4]]	$[\begin{array}{c} 2 & 8 \\ 4 & 1 \\ 2 & 4 \end{array}]$
6507	Find Pivot Positions and Pivot Columns	[[2.5,5,1,0,0,8],[4.5,3,0,1,0,9],[5,10,0,0,1,10],[-54,-60,0,0,0,0]]	$[\begin{array}{c} 2.5 & 5 & 1 & 0 & 0 & 8 \\ 4.5 & 3 & 0 & 1 & 0 & 9 \\ 5 & 10 & 0 & 0 & 1 & 10 \\ - 54 & - 60 & 0 & 0 & 0 & 0 \end{array}]$
6508	Find Pivot Positions and Pivot Columns	[[-2],[0],[3]]	$[\begin{array}{c} - 2 \\ 0 \\ 3 \end{array}]$
6509	Find Pivot Positions and Pivot Columns	[[2x+y=2],[x+3y=-9]]	$[\begin{array}{c} 2 x + y = 2 \\ x + 3 y = - 9 \end{array}]$
6510	Find Pivot Positions and Pivot Columns	[[3,1,0],[-1,0,4],[2,2,1]]	$[\begin{array}{c} 3 & 1 & 0 \\ - 1 & 0 & 4 \\ 2 & 2 & 1 \end{array}]$
6511	Find Pivot Positions and Pivot Columns	[[3,1,1],[2,4,2],[-1,-1,1]]	$[\begin{array}{c} 3 & 1 & 1 \\ 2 & 4 & 2 \\ - 1 & - 1 & 1 \end{array}]$
6512	Find Pivot Positions and Pivot Columns	[[3,2,1,1,0,0,0,40],[1,6,4,0,1,0,0,60],[5,1,4,0,0,1,0,90],[-6,-5,-9,0,0,0,1,0]]	$[\begin{array}{c} 3 & 2 & 1 & 1 & 0 & 0 & 0 & 40 \\ 1 & 6 & 4 & 0 & 1 & 0 & 0 & 60 \\ 5 & 1 & 4 & 0 & 0 & 1 & 0 & 90 \\ - 6 & - 5 & - 9 & 0 & 0 & 0 & 1 & 0 \end{array}]$
6513	Find Pivot Positions and Pivot Columns	[[3,2,1],[5,6,4],[2,-1,3]]	$[\begin{array}{c} 3 & 2 & 1 \\ 5 & 6 & 4 \\ 2 & - 1 & 3 \end{array}]$
6514	Find Pivot Positions and Pivot Columns	[[3,-2,14],[1,3,1]]	$[\begin{array}{c} 3 & - 2 & 14 \\ 1 & 3 & 1 \end{array}]$
6515	Find Pivot Positions and Pivot Columns	[[3,2,4,2],[1,6,2,1],[4,2,2,4],[2,1,1,2]]	$[\begin{array}{c} 3 & 2 & 4 & 2 \\ 1 & 6 & 2 & 1 \\ 4 & 2 & 2 & 4 \\ 2 & 1 & 1 & 2 \end{array}]$
6516	Find Pivot Positions and Pivot Columns	[[3,2,8],[2,-4,-7]]	$[\begin{array}{c} 3 & 2 & 8 \\ 2 & - 4 & - 7 \end{array}]$
6517	Find Pivot Positions and Pivot Columns	[[3,-2],[1,0],[-1,4]]	$[\begin{array}{c} 3 & - 2 \\ 1 & 0 \\ - 1 & 4 \end{array}]$
6518	Find Pivot Positions and Pivot Columns	[[3,6,-5,-1,-8,x],[6,-2,3,2,13,y],[4,-3,-1,-3,-1,z],[5,6,-3,4,-6,t]]	$[\begin{array}{c} 3 & 6 & - 5 & - 1 & - 8 & x \\ 6 & - 2 & 3 & 2 & 13 & y \\ 4 & - 3 & - 1 & - 3 & - 1 & z \\ 5 & 6 & - 3 & 4 & - 6 & t \end{array}]$
6519	Find Pivot Positions and Pivot Columns	[[3,-7,5,0],[6,-14,10,0],[12,-28,20,0]]	$[\begin{array}{c} 3 & - 7 & 5 & 0 \\ 6 & - 14 & 10 & 0 \\ 12 & - 28 & 20 & 0 \end{array}]$
6520	Find Pivot Positions and Pivot Columns	[[3],[4],[0]]	$[\begin{array}{c} 3 \\ 4 \\ 0 \end{array}]$
6521	Find Pivot Positions and Pivot Columns	[[4,1,-3],[3,2,5],[0,1,6]]	$[\begin{array}{c} 4 & 1 & - 3 \\ 3 & 2 & 5 \\ 0 & 1 & 6 \end{array}]$
6522	Find Pivot Positions and Pivot Columns	[[-4,1],[0,1],[4,1],[8,1]]	$[\begin{array}{c} - 4 & 1 \\ 0 & 1 \\ 4 & 1 \\ 8 & 1 \end{array}]$
6523	Find Pivot Positions and Pivot Columns	[[4,14,h],[-2,-7,4]]	$[\begin{array}{c} 4 & 14 & h \\ - 2 & - 7 & 4 \end{array}]$
6524	Find Pivot Positions and Pivot Columns	[[4,3,26],[3,11,-7]]	$[\begin{array}{c} 4 & 3 & 26 \\ 3 & 11 & - 7 \end{array}]$
6525	Find Pivot Positions and Pivot Columns	[[4,3,6],[5,3,5]]	$[\begin{array}{c} 4 & 3 & 6 \\ 5 & 3 & 5 \end{array}]$
6526	Find Pivot Positions and Pivot Columns	[[4,5,9,1,0,0,0,700],[6,1,8,0,1,0,0,300],[8,5,4,0,0,1,0,700],[-3,-8,-1,0,0,0,1,0]]	$[\begin{array}{c} 4 & 5 & 9 & 1 & 0 & 0 & 0 & 700 \\ 6 & 1 & 8 & 0 & 1 & 0 & 0 & 300 \\ 8 & 5 & 4 & 0 & 0 & 1 & 0 & 700 \\ - 3 & - 8 & - 1 & 0 & 0 & 0 & 1 & 0 \end{array}]$
6527	Find Pivot Positions and Pivot Columns	[[4,6,10],[4,0,-6]]	$[\begin{array}{c} 4 & 6 & 10 \\ 4 & 0 & - 6 \end{array}]$
6528	Find Pivot Positions and Pivot Columns	[[-4,7,3],[2,1,-1]]	$[\begin{array}{c} - 4 & 7 & 3 \\ 2 & 1 & - 1 \end{array}]$
6529	Find Pivot Positions and Pivot Columns	[[4,7],[11,20]]	$[\begin{array}{c} 4 & 7 \\ 11 & 20 \end{array}]$
6530	Find Pivot Positions and Pivot Columns	[[4,y],[4.4,y],[4.2,y],[4.1,y],[x,0.7],[x,0.6],[x,0.1],[x,9],[x,6],[x,7]]	$[\begin{array}{c} 4 & y \\ 4.4 & y \\ 4.2 & y \\ 4.1 & y \\ x & 0.7 \\ x & 0.6 \\ x & 0.1 \\ x & 9 \\ x & 6 \\ x & 7 \end{array}]$
6531	Find Pivot Positions and Pivot Columns	[[5,0,-4],[0,1,3],[-1,2,-1]]	$[\begin{array}{c} 5 & 0 & - 4 \\ 0 & 1 & 3 \\ - 1 & 2 & - 1 \end{array}]$
6532	Find Pivot Positions and Pivot Columns	[[5,3,0,0],[3,5,0,0],[0,0,7,1],[0,0,1,7]]	$[\begin{array}{c} 5 & 3 & 0 & 0 \\ 3 & 5 & 0 & 0 \\ 0 & 0 & 7 & 1 \\ 0 & 0 & 1 & 7 \end{array}]$
6533	Find Pivot Positions and Pivot Columns	[[5,4,-3],[-5,-3,-2]]	$[\begin{array}{c} 5 & 4 & - 3 \\ - 5 & - 3 & - 2 \end{array}]$
6534	Find Pivot Positions and Pivot Columns	[[5,7,9,0],[0,2,4,0],[0,-6,-8,0]]	$[\begin{array}{c} 5 & 7 & 9 & 0 \\ 0 & 2 & 4 & 0 \\ 0 & - 6 & - 8 & 0 \end{array}]$
6535	Find Pivot Positions and Pivot Columns	[[6,0,1,0,0],[3,1,11,0,0],[5,-2,14,0,0],[4,-5,14,5,0]]	$[\begin{array}{c} 6 & 0 & 1 & 0 & 0 \\ 3 & 1 & 11 & 0 & 0 \\ 5 & - 2 & 14 & 0 & 0 \\ 4 & - 5 & 14 & 5 & 0 \end{array}]$
6536	Find Pivot Positions and Pivot Columns	[[6,-4,a],[3,-2,d]]	$[\begin{array}{c} 6 & - 4 & a \\ 3 & - 2 & d \end{array}]$
6537	Find Pivot Positions and Pivot Columns	[[6,6 square root of 3],[-6 square root of 3,6]]	$[\begin{array}{c} 6 & 6 \sqrt{3} \\ - 6 \sqrt{3} & 6 \end{array}]$
6538	Find Pivot Positions and Pivot Columns	[[7,3,-1],[1,-1,1],[5,-1,-1]]	$[\begin{array}{c} 7 & 3 & - 1 \\ 1 & - 1 & 1 \\ 5 & - 1 & - 1 \end{array}]$
6539	Find Pivot Positions and Pivot Columns	[[7,-3,5],[-2,5,-8],[-1,3,4]]	$[\begin{array}{c} 7 & - 3 & 5 \\ - 2 & 5 & - 8 \\ - 1 & 3 & 4 \end{array}]$
6540	Find Pivot Positions and Pivot Columns	[[7,5,4,7],[-1,5,2,4],[7,0,2,2]]	$[\begin{array}{c} 7 & 5 & 4 & 7 \\ - 1 & 5 & 2 & 4 \\ 7 & 0 & 2 & 2 \end{array}]$
6541	Find Pivot Positions and Pivot Columns	[[7,8],[5,-3],[8,5]]	$[\begin{array}{c} 7 & 8 \\ 5 & - 3 \\ 8 & 5 \end{array}]$
6542	Find Pivot Positions and Pivot Columns	[[8,32,8],[-14,-56,h]]	$[\begin{array}{c} 8 & 32 & 8 \\ - 14 & - 56 & h \end{array}]$
6543	Find Pivot Positions and Pivot Columns	[[8,7,8],[5,6,9]]	$[\begin{array}{c} 8 & 7 & 8 \\ 5 & 6 & 9 \end{array}]$
6544	Find Pivot Positions and Pivot Columns	[[9,12,8],[6,4,5],[3,8,2]]	$[\begin{array}{c} 9 & 12 & 8 \\ 6 & 4 & 5 \\ 3 & 8 & 2 \end{array}]$
6545	Find Pivot Positions and Pivot Columns	[[9,12,h],[-3,-4,6]]	$[\begin{array}{c} 9 & 12 & h \\ - 3 & - 4 & 6 \end{array}]$
6546	Find Pivot Positions and Pivot Columns	[[a,a,1-a,1],[a,a^2a,1-a^2,1],[2a,a+a^2,2-2a,a+2]]	$[\begin{array}{c} a & a & 1 - a & 1 \\ a & a^{2} a & 1 - a^{2} & 1 \\ 2 a & a + a^{2} & 2 - 2 a & a + 2 \end{array}]$
6547	Find Pivot Positions and Pivot Columns	[[a+b,2a,-a],[c+d,2c,-c]]	$[\begin{array}{c} a + b & 2 a & - a \\ c + d & 2 c & - c \end{array}]$
6548	Find Pivot Positions and Pivot Columns	[[x,1,2,1],[1,x,1,2],[2,1,x,1],[1,2,1,x]]=0	$[\begin{array}{c} x & 1 & 2 & 1 \\ 1 & x & 1 & 2 \\ 2 & 1 & x & 1 \\ 1 & 2 & 1 & x \end{array}] = 0$
6549	Find Pivot Positions and Pivot Columns	[[1,0,4,3,0,a],[0,1,1,1,0,b],[0,0,0,0,1,c]]	$[\begin{array}{c} 1 & 0 & 4 & 3 & 0 & a \\ 0 & 1 & 1 & 1 & 0 & b \\ 0 & 0 & 0 & 0 & 1 & c \end{array}]$
6550	Find Pivot Positions and Pivot Columns	R=[[5,8],[1,2]]	$R = [\begin{array}{c} 5 & 8 \\ 1 & 2 \end{array}]$
6551	Find Pivot Positions and Pivot Columns	u=[[2i,-3j,k]]	$u = [\begin{array}{c} 2 i & - 3 j & k \end{array}]$
6552	Graph	-1=a=5	$- 1 = a = 5$
6553	Graph	-11=x-2y	$- 11 = x - 2 y$
6554	Graph	3800+585 log base 2 of x	$3800 + 585 \log_{2} (x)$
6555	Graph	4x+7y>3	$4 x + 7 y > 3$
6556	Graph	6x+2y=-46	$6 x + 2 y = - 46$
6557	Graph	8y^2=8-x^2	$8 y^{2} = 8 - x^{2}$
6558	Graph	y=x^3+3x^2-9x	$y = x^{3} + 3 x^{2} - 9 x$
6559	Solve by Graphing	1/2*(2a+7)=(3a-4)/4	$\frac{1}{2} \cdot (2 a + 7) = \frac{3 a - 4}{4}$
6560	Determine if Linear	12=0.155x-3.86	$12 = 0.155 x - 3.86$
6561	Factor	g(x)=- square root of x+2+2	$g (x) = - \sqrt{x + 2} + 2$
6562	Add	(-1)(2)+(1)(-1)	$(- 1) (2) + (1) (- 1)$
6563	Add	(2)(1)+(-7)(-2)	$(2) (1) + (- 7) (- 2)$
6564	Add	(2)(-1)+(-7)(3)	$(2) (- 1) + (- 7) (3)$
6565	Add	(3)(-7)+(-1)(4)	$(3) (- 7) + (- 1) (4)$
6566	Add	-35-23	$- 35 - 23$
6567	Add	-(1)^2+6.1	$- {(1)}^{2} + 6.1$
6568	Add	((-2)^3)^2+ cube root of -8	${({(- 2)}^{3})}^{2} + \sqrt[3]{- 8}$
6569	Add	( square root of 1/3)^2+( square root of 2/3)^2+ square root of (1/3)^2	${(\sqrt{\frac{1}{3}})}^{2} + {(\sqrt{\frac{2}{3}})}^{2} + \sqrt{{(\frac{1}{3})}^{2}}$
6570	Add	-( square root of 256)/( square root of 545)+( square root of 45)/( square root of 109)+( square root of 1024)/( square root of 545)	$- \frac{\sqrt{256}}{\sqrt{545}} + \frac{\sqrt{45}}{\sqrt{109}} + \frac{\sqrt{1024}}{\sqrt{545}}$
6571	Add	2/(x^2-2x-48)+x/(2x^2+11x-6)	$\frac{2}{x^{2} - 2 x - 48} + \frac{x}{2 x^{2} + 11 x - 6}$
6572	Add	-(2a-10x)/(3a)+(7a-7x)/(3a)	$- \frac{2 a - 10 x}{3 a} + \frac{7 a - 7 x}{3 a}$
6573	Add	4/18+10/18	$\frac{4}{18} + \frac{10}{18}$
6574	Add	4/y+9/y	$\frac{4}{y} + \frac{9}{y}$
6575	Add	45/(2.25%)+100+175	$\frac{45}{2.25 %} + 100 + 175$
6576	Add	5/x+4/(x-2)	$\frac{5}{x} + \frac{4}{x - 2}$
6577	Add	(m-2)/(m+1)+2÷1+(1+2m)/(m+1)	$\frac{m - 2}{m + 1} + 2 \div 1 + \frac{1 + 2 m}{m + 1}$
6578	Add	square root of 100+ fifth root of -32+ sixth root of 0	$\sqrt{100} + \sqrt[5]{- 32} + \sqrt[6]{0}$
6579	Add	square root of -4+ square root of -36	$\sqrt{- 4} + \sqrt{- 36}$
6580	Add	square root of 63+ square root of 252	$\sqrt{63} + \sqrt{252}$
6581	Add	square root of x+2 square root of b	$\sqrt{x} + 2 \sqrt{b}$
6582	Add	fifth root of 23328+5 fifth root of 3	$\sqrt[5]{23328} + 5 \sqrt[5]{3}$
6583	Add	0.06+1.33+10.6	$0.06 + 1.33 + 10.6$
6584	Add	0.25(0)+6.25	$0.25 (0) + 6.25$
6585	Add	-1*14+3(7)	$- 1 \cdot 14 + 3 (7)$
6586	Add	1058.2+1540.5+2441.5+2381.4+2138.5+1305	$1058.2 + 1540.5 + 2441.5 + 2381.4 + 2138.5 + 1305$
6587	Add	12+ square root of 6	$12 + \sqrt{6}$
6588	Add	180(0)+250(9)	$180 (0) + 250 (9)$
6589	Add	2.02+3 square root of 2.02(0.048)	$2.02 + 3 \sqrt{2.02 (0.048)}$
6590	Add	-2(1/2)^2+1/2	$- 2 {(\frac{1}{2})}^{2} + \frac{1}{2}$
6591	Add	-2+7i	$- 2 + 7 i$
6592	Add	20(15)+16(30)	$20 (15) + 16 (30)$
6593	Add	20(30)+16(25)	$20 (30) + 16 (25)$
6594	Add	24+9	$24 + 9$
6595	Add	3.25+3 square root of 3.25((100-3.25)/100)	$3.25 + 3 \sqrt{3.25 (\frac{100 - 3.25}{100})}$
6596	Add	3+3+1/2	$3 + 3 + \frac{1}{2}$
6597	Add	33+9	$33 + 9$
6598	Add	4(20)+9(5)	$4 (20) + 9 (5)$
6599	Add	4(5)+2	$4 (5) + 2$
6600	Add	-4+4i square root of 3	$- 4 + 4 i \sqrt{3}$