Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
6701	Find the Domain	6x+2y=8	$6 x + 2 y = 8$
6702	Find the Result of 10 Times the 10x10 Identity Matrix	10	$10$
6703	Find the Domain	6x-5y=-5	$6 x - 5 y = - 5$
6704	Find the Domain	x^2+5x+4=0	$x^{2} + 5 x + 4 = 0$
6705	Solve the Matrix Equation	A=[[-2,0],[5,-4]]+5[[7,-5],[-9,3]]	$A = [\begin{array}{c} - 2 & 0 \\ 5 & - 4 \end{array}] + 5 [\begin{array}{c} 7 & - 5 \\ - 9 & 3 \end{array}]$
6706	Solve Using an Inverse Matrix	y=30-6x , 6x+y=60	$y = 30 - 6 x$ , $6 x + y = 60$
6707	Solve Using an Inverse Matrix	y=3x , 2x-3y=22	$y = 3 x$ , $2 x - 3 y = 22$
6708	Find the 3x3 Identity Matrix	3	$3$
6709	Find the Dimensions	[[0,-1,1],[1,4,-2],[3,10,-4]]	$[\begin{array}{c} 0 & - 1 & 1 \\ 1 & 4 & - 2 \\ 3 & 10 & - 4 \end{array}]$
6710	Find the Dimensions	[[0,15,14,16,3],[18,17,1,10,19],[18,17,6,13,4],[2,2,11,10,19]]	$[\begin{array}{c} 0 & 15 & 14 & 16 & 3 \\ 18 & 17 & 1 & 10 & 19 \\ 18 & 17 & 6 & 13 & 4 \\ 2 & 2 & 11 & 10 & 19 \end{array}]$
6711	Find the Dimensions	[[0,4],[5,2],[0,6],[5,7]]	$[\begin{array}{c} 0 & 4 \\ 5 & 2 \\ 0 & 6 \\ 5 & 7 \end{array}]$
6712	Find the Dimensions	[[0],[5],[-8],[4]]	$[\begin{array}{c} 0 \\ 5 \\ - 8 \\ 4 \end{array}]$
6713	Find the Dimensions	[[1,0,0,6,15],[0,1,0,9,-1],[0,0,1,0,-8],[0,0,0,0,0]]	$[\begin{array}{c} 1 & 0 & 0 & 6 & 15 \\ 0 & 1 & 0 & 9 & - 1 \\ 0 & 0 & 1 & 0 & - 8 \\ 0 & 0 & 0 & 0 & 0 \end{array}]$
6714	Find the Dimensions	[[1,0,0],[0,r-3,3],[0,s-2,r+3],[0,0,4]]	$[\begin{array}{c} 1 & 0 & 0 \\ 0 & r - 3 & 3 \\ 0 & s - 2 & r + 3 \\ 0 & 0 & 4 \end{array}]$
6715	Find the Dimensions	[[1,0,0],[0,r-4,4],[0,s-5,r+4],[0,0,5]]	$[\begin{array}{c} 1 & 0 & 0 \\ 0 & r - 4 & 4 \\ 0 & s - 5 & r + 4 \\ 0 & 0 & 5 \end{array}]$
6716	Find the Dimensions	[[1,0,1,0],[0,1,1,0],[0,0,1,1],[1,1,0,1]]	$[\begin{array}{c} 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 0 \\ 0 & 0 & 1 & 1 \\ 1 & 1 & 0 & 1 \end{array}]$
6717	Find the Dimensions	[[1,0,1,0],[1,-1,1,1],[1,1,1,1]]	$[\begin{array}{c} 1 & 0 & 1 & 0 \\ 1 & - 1 & 1 & 1 \\ 1 & 1 & 1 & 1 \end{array}]$
6718	Find the Dimensions	[[1,0,1],[0,1,1]]	$[\begin{array}{c} 1 & 0 & 1 \\ 0 & 1 & 1 \end{array}]$
6719	Find the Dimensions	[[1,0,-1],[1,1,1],[75,49,66]]	$[\begin{array}{c} 1 & 0 & - 1 \\ 1 & 1 & 1 \\ 75 & 49 & 66 \end{array}]$
6720	Find the Dimensions	[[1,0,8,-5,6],[0,1,4,-9,3],[0,0,1,1,2]]	$[\begin{array}{c} 1 & 0 & 8 & - 5 & 6 \\ 0 & 1 & 4 & - 9 & 3 \\ 0 & 0 & 1 & 1 & 2 \end{array}]$
6721	Find the Dimensions	[[1,0],[0,2]]	$[\begin{array}{c} 1 & 0 \\ 0 & 2 \end{array}]$
6722	Find the Dimensions	[[1,1,0],[0,0,1],[0,0,0]]	$[\begin{array}{c} 1 & 1 & 0 \\ 0 & 0 & 1 \\ 0 & 0 & 0 \end{array}]$
6723	Find the Dimensions	[[1,1,0],[0,1,-5],[0,0,1]]	$[\begin{array}{c} 1 & 1 & 0 \\ 0 & 1 & - 5 \\ 0 & 0 & 1 \end{array}]$
6724	Find the Dimensions	[[1,1,-2,0,1,-2],[1,1,-3,0,-2,-3],[1,-1,0,0,1,6],[1,-2,2,1,-3,0],[1,-2,1,0,2,-1]]	$[\begin{array}{c} 1 & 1 & - 2 & 0 & 1 & - 2 \\ 1 & 1 & - 3 & 0 & - 2 & - 3 \\ 1 & - 1 & 0 & 0 & 1 & 6 \\ 1 & - 2 & 2 & 1 & - 3 & 0 \\ 1 & - 2 & 1 & 0 & 2 & - 1 \end{array}]$
6725	Find the Dimensions	[[1,-1,2,1],[2,2,0,-1],[3,1,2,1]]	$[\begin{array}{c} 1 & - 1 & 2 & 1 \\ 2 & 2 & 0 & - 1 \\ 3 & 1 & 2 & 1 \end{array}]$
6726	Find the Dimensions	[[1,1,2],[0,-1,-4],[0,0,1]]	$[\begin{array}{c} 1 & 1 & 2 \\ 0 & - 1 & - 4 \\ 0 & 0 & 1 \end{array}]$
6727	Find the Dimensions	[[1,1,-5,-6],[4,-1,1,19],[1,3,-1,14]]	$[\begin{array}{c} 1 & 1 & - 5 & - 6 \\ 4 & - 1 & 1 & 19 \\ 1 & 3 & - 1 & 14 \end{array}]$
6728	Find the Dimensions	[[1,1],[4,3]]	$[\begin{array}{c} 1 & 1 \\ 4 & 3 \end{array}]$
6729	Find the Dimensions	[[1,2,0,0,0,0],[0,0,1,2,0,0],[0,0,0,0,1,2]]	$[\begin{array}{c} 1 & 2 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 2 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 2 \end{array}]$
6730	Find the Dimensions	[[1,-2,0,3,a],[1,1,1,2,b],[0,3,1,-1,c]]	$[\begin{array}{c} 1 & - 2 & 0 & 3 & a \\ 1 & 1 & 1 & 2 & b \\ 0 & 3 & 1 & - 1 & c \end{array}]$
6731	Find the Dimensions	[[1,2,1,0,0,20],[1,1,0,1,0,12],[5,1,0,0,1,40],[-20,-30,0,0,0,0]]	$[\begin{array}{c} 1 & 2 & 1 & 0 & 0 & 20 \\ 1 & 1 & 0 & 1 & 0 & 12 \\ 5 & 1 & 0 & 0 & 1 & 40 \\ - 20 & - 30 & 0 & 0 & 0 & 0 \end{array}]$
6732	Find the Dimensions	[[1,2,-1,0],[2,3,5,0],[-1,-3,8,0]]	$[\begin{array}{c} 1 & 2 & - 1 & 0 \\ 2 & 3 & 5 & 0 \\ - 1 & - 3 & 8 & 0 \end{array}]$
6733	Find the Dimensions	[[1,2,-1,7],[2,-1,1,2],[3,-4,3,-3]]	$[\begin{array}{c} 1 & 2 & - 1 & 7 \\ 2 & - 1 & 1 & 2 \\ 3 & - 4 & 3 & - 3 \end{array}]$
6734	Find the Dimensions	[[1,-2,-1,A],[-2,2,0,B],[4,-1,3,C]]	$[\begin{array}{c} 1 & - 2 & - 1 & A \\ - 2 & 2 & 0 & B \\ 4 & - 1 & 3 & C \end{array}]$
6735	Find the Dimensions	[[1,2,-1],[3,-3,2],[-1,-11,6]]	$[\begin{array}{c} 1 & 2 & - 1 \\ 3 & - 3 & 2 \\ - 1 & - 11 & 6 \end{array}]$
6736	Find the Dimensions	[[1,-2,-2],[0,-1,-2],[-2,-1,-6]]	$[\begin{array}{c} 1 & - 2 & - 2 \\ 0 & - 1 & - 2 \\ - 2 & - 1 & - 6 \end{array}]$
6737	Find the Result of 6 Times the 6x6 Identity Matrix	6	$6$
6738	Find the Result of 8 Times the 8x8 Identity Matrix	8	$8$
6739	Find the Result of 9 Times the 9x9 Identity Matrix	9	$9$
6740	Find the Domain	\|y\|=x/2	$\| y \| = \frac{x}{2}$
6741	Find the Domain	(x+7)/(x+9)=x/(x+5)	$\frac{x + 7}{x + 9} = \frac{x}{x + 5}$
6742	Solve Using an Inverse Matrix	x+y=9 , x-y=1	$x + y = 9$ , $x - y = 1$
6743	Find the Dimensions	A*B=[[23,-16],[-9,7]]	$A \cdot B = [\begin{array}{c} 23 & - 16 \\ - 9 & 7 \end{array}]$
6744	Find the Dimensions	A=[[1,-5,-8,-9,-6],[0,0,-8,-4,-3],[0,0,0,0,1],[0,0,0,0,0]]	$A = [\begin{array}{c} 1 & - 5 & - 8 & - 9 & - 6 \\ 0 & 0 & - 8 & - 4 & - 3 \\ 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 \end{array}]$
6745	Find the Dimensions	A=[[3,0],[-1,2],[1,1]]	$A = [\begin{array}{c} 3 & 0 \\ - 1 & 2 \\ 1 & 1 \end{array}]$
6746	Find the Dimensions	A=[[i,-5,0],[1,i,-1]]	$A = [\begin{array}{c} i & - 5 & 0 \\ 1 & i & - 1 \end{array}]$
6747	Find the Dimensions	b=[[12,14,-17],[15,-14,-19],[-10,11,18]]	$b = [\begin{array}{c} 12 & 14 & - 17 \\ 15 & - 14 & - 19 \\ - 10 & 11 & 18 \end{array}]$
6748	Find the Dimensions	b=[[-33,-41],[-45,22],[48,9],[49,30],[-16,-48]]	$b = [\begin{array}{c} - 33 & - 41 \\ - 45 & 22 \\ 48 & 9 \\ 49 & 30 \\ - 16 & - 48 \end{array}]$
6749	Find the Dimensions	[[0,0,1,-2,-1,2],[2,-4,-1,2,1,-8],[-1,2,3,-6,-3,9],[1,-2,2,-4,-2,1]]	$[\begin{array}{c} 0 & 0 & 1 & - 2 & - 1 & 2 \\ 2 & - 4 & - 1 & 2 & 1 & - 8 \\ - 1 & 2 & 3 & - 6 & - 3 & 9 \\ 1 & - 2 & 2 & - 4 & - 2 & 1 \end{array}]$
6750	Find the Dimensions	[[0,0],[1,3],[2,6]]	$[\begin{array}{c} 0 & 0 \\ 1 & 3 \\ 2 & 6 \end{array}]$
6751	Solve Using an Inverse Matrix	x-4.9y=9.7 , -x+5.2y=10.6	$x - 4.9 y = 9.7$ , $- x + 5.2 y = 10.6$
6752	Solve Using an Inverse Matrix	x-4y=14 , 5x-3y=2	$x - 4 y = 14$ , $5 x - 3 y = 2$
6753	Solve Using an Inverse Matrix	x-4y=14 , 5x+2y=4	$x - 4 y = 14$ , $5 x + 2 y = 4$
6754	Solve Using an Inverse Matrix	x-4y=-30 , 5x+5y=-50	$x - 4 y = - 30$ , $5 x + 5 y = - 50$
6755	Solve Using an Inverse Matrix	-x-4y=-4 , x+4y=4	$- x - 4 y = - 4$ , $x + 4 y = 4$
6756	Solve Using an Inverse Matrix	y=3/2x+1 , -3x+2y=2	$y = \frac{3}{2} x + 1$ , $- 3 x + 2 y = 2$
6757	Find the Norm	[[4+0i],[0+2i],[1-1i],[4-3i]]	$[\begin{array}{c} 4 + 0 i \\ 0 + 2 i \\ 1 - 1 i \\ 4 - 3 i \end{array}]$
6758	Solve Using an Inverse Matrix	x-5y=2 , 5x-10=25y	$x - 5 y = 2$ , $5 x - 10 = 25 y$
6759	Solve Using an Inverse Matrix	x-5y=4 , 8x-32=40y	$x - 5 y = 4$ , $8 x - 32 = 40 y$
6760	Solve Using an Inverse Matrix	-x-5y=5 , x-5y=5	$- x - 5 y = 5$ , $x - 5 y = 5$
6761	Solve Using an Inverse Matrix	-x-5y=5 , x-5y-5=0	$- x - 5 y = 5$ , $x - 5 y - 5 = 0$
6762	Solve Using an Inverse Matrix	x-6y-2z=-8 , -x+5y-3z=2 , 3x-2y-4z=18	$x - 6 y - 2 z = - 8$ , $- x + 5 y - 3 z = 2$ , $3 x - 2 y - 4 z = 18$
6763	Solve Using an Inverse Matrix	x-7y=2 , 4x+7y=3	$x - 7 y = 2$ , $4 x + 7 y = 3$
6764	Solve Using an Inverse Matrix	x-y+1=0 , x+y-1=0	$x - y + 1 = 0$ , $x + y - 1 = 0$
6765	Solve Using an Inverse Matrix	x-y+2z=0 , 2x+3y-z=0 , -x+2y-2z=0	$x - y + 2 z = 0$ , $2 x + 3 y - z = 0$ , $- x + 2 y - 2 z = 0$
6766	Solve Using an Inverse Matrix	x-y+2z=9 , 2x+y-z=1 , 3x-2y+z=8	$x - y + 2 z = 9$ , $2 x + y - z = 1$ , $3 x - 2 y + z = 8$
6767	Solve Using an Inverse Matrix	x-y+3z=-12 , 4x+z=-3 , x+4y+z=9	$x - y + 3 z = - 12$ , $4 x + z = - 3$ , $x + 4 y + z = 9$
6768	Solve Using an Inverse Matrix	x-y+z=0 , -2y+z=-1 , -7x-8y=-8	$x - y + z = 0$ , $- 2 y + z = - 1$ , $- 7 x - 8 y = - 8$
6769	Solve Using an Inverse Matrix	x-y+z=-9 , x+y+z=-5 , x+y-z=3	$x - y + z = - 9$ , $x + y + z = - 5$ , $x + y - z = 3$
6770	Solve Using an Inverse Matrix	x-y=0 , x+y=2	$x - y = 0$ , $x + y = 2$
6771	Solve Using an Inverse Matrix	x-y=1 , 2x+3y=17	$x - y = 1$ , $2 x + 3 y = 17$
6772	Solve Using an Inverse Matrix	x-y=1 , x+2y=25	$x - y = 1$ , $x + 2 y = 25$
6773	Solve Using an Inverse Matrix	x-y=1 , x+y=5	$x - y = 1$ , $x + y = 5$
6774	Solve Using an Inverse Matrix	x-y=2 , 2x+y=7	$x - y = 2$ , $2 x + y = 7$
6775	Solve Using an Inverse Matrix	x-y=2 , 3x-3y=6	$x - y = 2$ , $3 x - 3 y = 6$
6776	Solve Using an Inverse Matrix	x+y+z=9 , 2x+y-z=6 , 4x-y-z=-3	$x + y + z = 9$ , $2 x + y - z = 6$ , $4 x - y - z = - 3$
6777	Solve Using an Inverse Matrix	x+y=0 , x-y=12	$x + y = 0$ , $x - y = 12$
6778	Solve Using an Inverse Matrix	x+y=1.40 , 1.15x+2.20y=40.60	$x + y = 1.4$ , $1.15 x + 2.2 y = 40.6$
6779	Solve Using an Inverse Matrix	x+y=-1 , 2x+z=12 , y-2z=-16	$x + y = - 1$ , $2 x + z = 12$ , $y - 2 z = - 16$
6780	Solve Using an Inverse Matrix	x+y=1 , 3x-y=3	$x + y = 1$ , $3 x - y = 3$
6781	Solve Using an Inverse Matrix	x+y=1 , 4x+3y=7	$x + y = 1$ , $4 x + 3 y = 7$
6782	Solve Using an Inverse Matrix	x+y=1 , -x+y=-1	$x + y = 1$ , $- x + y = - 1$
6783	Solve Using an Inverse Matrix	x+y=-1 , x-y=18	$x + y = - 1$ , $x - y = 18$
6784	Solve Using an Inverse Matrix	x+y=10 , x-y=4	$x + y = 10$ , $x - y = 4$
6785	Solve Using an Inverse Matrix	x+y=10 , 2x+3y=22	$x + y = 10$ , $2 x + 3 y = 22$
6786	Solve Using an Inverse Matrix	x+y=10 , y=4x	$x + y = 10$ , $y = 4 x$
6787	Solve Using an Inverse Matrix	x+y=100 , 0.45x+0.65y=0.60*100	$x + y = 100$ , $0.45 x + 0.65 y = 0.6 \cdot 100$
6788	Solve Using an Inverse Matrix	x+y=100 , 20x+5y=1325	$x + y = 100$ , $20 x + 5 y = 1325$
6789	Solve Using an Inverse Matrix	x+y=1000 , 0.05x+0.06y=57	$x + y = 1000$ , $0.05 x + 0.06 y = 57$
6790	Solve Using an Inverse Matrix	x+y=11 , 2x-y=6	$x + y = 11$ , $2 x - y = 6$
6791	Solve Using an Inverse Matrix	x+y=11 , 5x+5y=55	$x + y = 11$ , $5 x + 5 y = 55$
6792	Solve Using an Inverse Matrix	x+y=11 , 3x-y=13	$x + y = 11$ , $3 x - y = 13$
6793	Solve Using an Inverse Matrix	x+y=12 , 2x+5y=27	$x + y = 12$ , $2 x + 5 y = 27$
6794	Solve Using an Inverse Matrix	x+y=12 , x=2y	$x + y = 12$ , $x = 2 y$
6795	Solve Using an Inverse Matrix	x+y=12 , x=3y	$x + y = 12$ , $x = 3 y$
6796	Solve Using an Inverse Matrix	x+y=12 , x-y=2	$x + y = 12$ , $x - y = 2$
6797	Solve Using an Inverse Matrix	x+y=-12 , y=-4x	$x + y = - 12$ , $y = - 4 x$
6798	Solve Using an Inverse Matrix	x+y=130 , 15x+30y=1500	$x + y = 130$ , $15 x + 30 y = 1500$
6799	Solve Using an Inverse Matrix	x+y=150 , 6.5x+2.00y=795	$x + y = 150$ , $6.5 x + 2 y = 795$
6800	Solve Using an Inverse Matrix	x+y=170 , 625x+350y=479	$x + y = 170$ , $625 x + 350 y = 479$