Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1	Solve Using an Inverse Matrix	x+2y=1 , 4x+5y=13	$x + 2 y = 1$ $x + 2 y = 1$ , $4 x + 5 y = 13$ $4 x + 5 y = 13$
2	Multiply the Matrices	[[1/( square root of 17),-4/( square root of 17)]][[1/( square root of 17)],[-4/( square root of 17)]]	$[\begin{matrix} \frac{1}{\sqrt{17}} & - \frac{4}{\sqrt{17}} \end{matrix}] ⎡ ⎢ ⎣ \begin{matrix} \frac{1}{\sqrt{17}} - \frac{4}{\sqrt{17}} \end{matrix} ⎤ ⎥ ⎦$ $[\begin{array}{c} \frac{1}{\sqrt{17}} & - \frac{4}{\sqrt{17}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$
3	Find the Domain	x+y=3	$x + y = 3$ $x + y = 3$
4	Find the Domain	x-y=3	$x - y = 3$ $x - y = 3$
5	Find the Domain	y=-2x+3	$y = - 2 x + 3$ $y = - 2 x + 3$
6	Find the Domain	y=2x+1	$y = 2 x + 1$ $y = 2 x + 1$
7	Write as a Vector Equality	x=x^2+9x+3 , x=x+2	$x = x^{2} + 9 x + 3$ $x = x^{2} + 9 x + 3$ , $x = x + 2$ $x = x + 2$
8	Find the Domain	y=2x	$y = 2 x$ $y = 2 x$
9	Find the Domain	y=-3x	$y = - 3 x$ $y = - 3 x$
10	Find the Domain	y=3x-2	$y = 3 x - 2$ $y = 3 x - 2$
11	Find the Domain	y=4x	$y = 4 x$ $y = 4 x$
12	Find the Domain	3x+2y=6	$3 x + 2 y = 6$ $3 x + 2 y = 6$
13	Find the 5x5 Identity Matrix	5	$5$ $5$
14	Find the 6x6 Identity Matrix	6	$6$ $6$
15	Find the 4x4 Identity Matrix	4	$4$ $4$
16	Solve Using an Inverse Matrix	2x+y=-2 , x+2y=2	$2 x + y = - 2$ $2 x + y = - 2$ , $x + 2 y = 2$ $x + 2 y = 2$
17	Solve Using an Inverse Matrix	4x+4=y , y=6x	$4 x + 4 = y$ $4 x + 4 = y$ , $y = 6 x$ $y = 6 x$
18	Solve Using an Inverse Matrix	4x+2=5y-3 , y=3x-1	$4 x + 2 = 5 y - 3$ $4 x + 2 = 5 y - 3$ , $y = 3 x - 1$ $y = 3 x - 1$
19	Find the Power Set	(3,4)	$(3, 4)$ $(3, 4)$
20	Evaluate	cube root of 216	$\sqrt[3]{216}$ $\sqrt[3]{216}$
21	Find the Power Set	(1,3)	$(1, 3)$ $(1, 3)$
22	Find the Domain	3x-2y=12	$3 x - 2 y = 12$ $3 x - 2 y = 12$
23	Find the Domain	y=5x+2	$y = 5 x + 2$ $y = 5 x + 2$
24	Find the Domain	y=2x-3	$y = 2 x - 3$ $y = 2 x - 3$
25	Find the Domain	y=2x-4	$y = 2 x - 4$ $y = 2 x - 4$
26	Find the Domain	y=2x+5	$y = 2 x + 5$ $y = 2 x + 5$
27	Find the Domain	y=1/2x	$y = \frac{1}{2} x$ $y = \frac{1}{2} x$
28	Find the Domain	y=1/2x-3	$y = \frac{1}{2} x - 3$ $y = \frac{1}{2} x - 3$
29	Find the Domain	y=2/3x-2	$y = \frac{2}{3} x - 2$ $y = \frac{2}{3} x - 2$
30	Find the Domain	x=2y	$x = 2 y$ $x = 2 y$
31	Find the Domain	x-2y=2	$x - 2 y = 2$ $x - 2 y = 2$
32	Find the Domain	x-2y=6	$x - 2 y = 6$ $x - 2 y = 6$
33	Find the Domain	2y+x	$2 y + x$ $2 y + x$
34	Find the Domain	2x+y=0	$2 x + y = 0$ $2 x + y = 0$
35	Find the Domain	y=5x+6	$y = 5 x + 6$ $y = 5 x + 6$
36	Find the Domain	y=x+3	$y = x + 3$ $y = x + 3$
37	Solve Using a Matrix by Elimination	y=4x+3x-2 , y=6	$y = 4 x + 3 x - 2$ $y = 4 x + 3 x - 2$ , $y = 6$ $y = 6$
38	Determine if Linearly Dependent	B={[[-10,2],[5,-2.5]]}	$B = {[\begin{matrix} - 10 & 2 5 & - 2.5 \end{matrix}]}$ $B = {[\begin{array}{c} - 10 & 2 \\ 5 & - 2.5 \end{array}]}$
39	Add	[[2,4],[6,-4]]+[[-3,-7],[20,10]]	$[\begin{matrix} 2 & 4 6 & - 4 \end{matrix}] + [\begin{matrix} - 3 & - 7 20 & 10 \end{matrix}]$ $[\begin{array}{c} 2 & 4 \\ 6 & - 4 \end{array}] + [\begin{array}{c} - 3 & - 7 \\ 20 & 10 \end{array}]$
40	Determine if Linearly Dependent	B={[[-1,2],[0,-2.5]]}	$B = {[\begin{matrix} - 1 & 2 0 & - 2.5 \end{matrix}]}$ $B = {[\begin{array}{c} - 1 & 2 \\ 0 & - 2.5 \end{array}]}$
41	Multiply the Matrices	[[0,0,1,1],[1,0,1,0],[0,0,0,1],[0,1,0,0]][[0,0,1,1],[1,0,1,0],[0,0,0,1],[0,1,0,0]]	$⎡ ⎢ ⎢ ⎢ ⎢ ⎣ \begin{matrix} 0 & 0 & 1 & 1 1 & 0 & 1 & 0 0 & 0 & 0 & 1 0 & 1 & 0 & 0 \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎥ ⎦ ⎡ ⎢ ⎢ ⎢ ⎢ ⎣ \begin{matrix} 0 & 0 & 1 & 1 1 & 0 & 1 & 0 0 & 0 & 0 & 1 0 & 1 & 0 & 0 \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎥ ⎦$ $[\begin{array}{c} 0 & 0 & 1 & 1 \\ 1 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \\ 0 & 1 & 0 & 0 \end{array}] [\begin{array}{c} 0 & 0 & 1 & 1 \\ 1 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \\ 0 & 1 & 0 & 0 \end{array}]$
42	Find the Domain	y=5x	$y = 5 x$ $y = 5 x$
43	Find the Domain	y=7x	$y = 7 x$ $y = 7 x$
44	Find the Domain	y=-x-2	$y = - x - 2$ $y = - x - 2$
45	Find the Domain	y=x-2	$y = x - 2$ $y = x - 2$
46	Find the Domain	y=x-3	$y = x - 3$ $y = x - 3$
47	Find Reduced Row Echelon Form	[[4,-3,1,0],[1,0,-2,0],[-2,1,1,0]]	$⎡ ⎢ ⎣ \begin{matrix} 4 & - 3 & 1 & 0 1 & 0 & - 2 & 0 - 2 & 1 & 1 & 0 \end{matrix} ⎤ ⎥ ⎦$ $[\begin{array}{c} 4 & - 3 & 1 & 0 \\ 1 & 0 & - 2 & 0 \\ - 2 & 1 & 1 & 0 \end{array}]$
48	Write as a Vector Equality	x+y+z=2 , 4x+5y+z=12 , 2x=-4	$x + y + z = 2$ $x + y + z = 2$ , $4 x + 5 y + z = 12$ $4 x + 5 y + z = 12$ , $2 x = - 4$ $2 x = - 4$
49	Find the Determinant	[[0,-1,a],[3,-a,1],[1,-2,3]]	$⎡ ⎢ ⎣ \begin{matrix} 0 & - 1 & a 3 & - a & 1 1 & - 2 & 3 \end{matrix} ⎤ ⎥ ⎦$ $[\begin{array}{c} 0 & - 1 & a \\ 3 & - a & 1 \\ 1 & - 2 & 3 \end{array}]$
50	Find the Domain	y=-x+2	$y = - x + 2$ $y = - x + 2$
51	Find the Determinant	[[2,5,0],[1,0,-3],[2,-1,2]]	$⎡ ⎢ ⎣ \begin{matrix} 2 & 5 & 0 1 & 0 & - 3 2 & - 1 & 2 \end{matrix} ⎤ ⎥ ⎦$ $[\begin{array}{c} 2 & 5 & 0 \\ 1 & 0 & - 3 \\ 2 & - 1 & 2 \end{array}]$
52	Find the Determinant	[[7,5,0],[4,5,8],[0,-1,5]]	$⎡ ⎢ ⎣ \begin{matrix} 7 & 5 & 0 4 & 5 & 8 0 & - 1 & 5 \end{matrix} ⎤ ⎥ ⎦$ $[\begin{array}{c} 7 & 5 & 0 \\ 4 & 5 & 8 \\ 0 & - 1 & 5 \end{array}]$
53	Find the Inverse	[[1,-3,0,-2],[3,-12,-2,-6],[-2,10,2,5],[-1,6,1,3]]	$⎡ ⎢ ⎢ ⎢ ⎢ ⎣ \begin{matrix} 1 & - 3 & 0 & - 2 3 & - 12 & - 2 & - 6 - 2 & 10 & 2 & 5 - 1 & 6 & 1 & 3 \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎥ ⎦$ $[\begin{array}{c} 1 & - 3 & 0 & - 2 \\ 3 & - 12 & - 2 & - 6 \\ - 2 & 10 & 2 & 5 \\ - 1 & 6 & 1 & 3 \end{array}]$
54	Find the Inverse	[[1,2,3],[2,5,7],[3,7,9]]	$⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 2 & 5 & 7 3 & 7 & 9 \end{matrix} ⎤ ⎥ ⎦$ $[\begin{array}{c} 1 & 2 & 3 \\ 2 & 5 & 7 \\ 3 & 7 & 9 \end{array}]$
55	Find Reduced Row Echelon Form	[[0,1,5,-4],[1,4,3,-2],[2,7,1,-2]]	$⎡ ⎢ ⎣ \begin{matrix} 0 & 1 & 5 & - 4 1 & 4 & 3 & - 2 2 & 7 & 1 & - 2 \end{matrix} ⎤ ⎥ ⎦$ $[\begin{array}{c} 0 & 1 & 5 & - 4 \\ 1 & 4 & 3 & - 2 \\ 2 & 7 & 1 & - 2 \end{array}]$
56	Find Reduced Row Echelon Form	[[1,1,0],[1,0,1],[1,0,1],[2,1,0],[2,1,0]]	$⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ \begin{matrix} 1 & 1 & 0 1 & 0 & 1 1 & 0 & 1 2 & 1 & 0 2 & 1 & 0 \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦$ $[\begin{array}{c} 1 & 1 & 0 \\ 1 & 0 & 1 \\ 1 & 0 & 1 \\ 2 & 1 & 0 \\ 2 & 1 & 0 \end{array}]$
57	Find Reduced Row Echelon Form	[[1,2,3],[4,5,6],[7,8,9]]	$⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦$ $[\begin{array}{c} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{array}]$
58	Find Reduced Row Echelon Form	[[7,8]]	$[\begin{matrix} 7 & 8 \end{matrix}]$ $[\begin{array}{c} 7 & 8 \end{array}]$
59	Find the Domain	2x+y=1	$2 x + y = 1$ $2 x + y = 1$
60	Write as a Vector Equality	2x+y=-2 , x+2y=2	$2 x + y = - 2$ $2 x + y = - 2$ , $x + 2 y = 2$ $x + 2 y = 2$
61	Find the Domain	x-2y=4	$x - 2 y = 4$ $x - 2 y = 4$
62	Find the Domain	x-y=-1	$x - y = - 1$ $x - y = - 1$
63	Find the Domain	x+y=5	$x + y = 5$ $x + y = 5$
64	Find the Domain	x=-3y-8	$x = - 3 y - 8$ $x = - 3 y - 8$
65	Find the Domain	x=-2y-8	$x = - 2 y - 8$ $x = - 2 y - 8$
66	Find the Domain	x+y=6	$x + y = 6$ $x + y = 6$
67	Find the Domain	x+y=4	$x + y = 4$ $x + y = 4$
68	Find the Domain	x+2y=4	$x + 2 y = 4$ $x + 2 y = 4$
69	Find the Domain	x+y	$x + y$ $x + y$
70	Find the Domain	y=7x+9	$y = 7 x + 9$ $y = 7 x + 9$
71	Find the Domain	y=1/2x-5	$y = \frac{1}{2} x - 5$ $y = \frac{1}{2} x - 5$
72	Find the Domain	y=1/2x+2	$y = \frac{1}{2} x + 2$ $y = \frac{1}{2} x + 2$
73	Find the Domain	y=1/2x+3	$y = \frac{1}{2} x + 3$ $y = \frac{1}{2} x + 3$
74	Find the Domain	x-y=-3	$x - y = - 3$ $x - y = - 3$
75	Find the Domain	x-y=4	$x - y = 4$ $x - y = 4$
76	Find the Domain	y=-2x	$y = - 2 x$ $y = - 2 x$
77	Find the Domain	y=-2x+1	$y = - 2 x + 1$ $y = - 2 x + 1$
78	Find the Domain	y=2^(x+9)	$y = 2^{x + 9}$ $y = 2^{x + 9}$
79	Find the Domain	y=10-x^2	$y = 10 - x^{2}$ $y = 10 - x^{2}$
80	Find the Domain	y=2x-6	$y = 2 x - 6$ $y = 2 x - 6$
81	Find the Domain	y=-2x-3	$y = - 2 x - 3$ $y = - 2 x - 3$
82	Find the Domain	y=3x-8	$y = 3 x - 8$ $y = 3 x - 8$
83	Find the Domain	y=3x	$y = 3 x$ $y = 3 x$
84	Find the Domain	y=-3x+1	$y = - 3 x + 1$ $y = - 3 x + 1$
85	Find the Domain	y=4x+3	$y = 4 x + 3$ $y = 4 x + 3$
86	Find the Domain	y=3x-4	$y = 3 x - 4$ $y = 3 x - 4$
87	Find the Domain	y=4x-2	$y = 4 x - 2$ $y = 4 x - 2$
88	Find the Domain	y=-6x	$y = - 6 x$ $y = - 6 x$
89	Find the Domain	y=x-4	$y = x - 4$ $y = x - 4$
90	Find the Domain	7 fourth root of 567y^4	$7 \sqrt[4]{567} y^{4}$ $7 \sqrt[4]{567} y^{4}$
91	Find the Domain	c=5/9*(f-32)	$c = \frac{5}{9} \cdot (f - 32)$ $c = \frac{5}{9} \cdot (f - 32)$
92	Find the Domain	f=9/5c+32	$f = \frac{9}{5} c + 32$ $f = \frac{9}{5} c + 32$
93	Evaluate	square root of 4	$\sqrt{4}$ $\sqrt{4}$
94	Find Reduced Row Echelon Form	[[-6,7],[2,6],[-4,1]]	$⎡ ⎢ ⎣ \begin{matrix} - 6 & 7 2 & 6 - 4 & 1 \end{matrix} ⎤ ⎥ ⎦$ $[\begin{array}{c} - 6 & 7 \\ 2 & 6 \\ - 4 & 1 \end{array}]$
95	Find the Eigenvalues	[[2,1],[3,2]]	$[\begin{matrix} 2 & 1 3 & 2 \end{matrix}]$ $[\begin{array}{c} 2 & 1 \\ 3 & 2 \end{array}]$
96	Find the Eigenvalues	[[4,0,1],[2,3,2],[49,0,4]]	$⎡ ⎢ ⎣ \begin{matrix} 4 & 0 & 1 2 & 3 & 2 49 & 0 & 4 \end{matrix} ⎤ ⎥ ⎦$ $[\begin{array}{c} 4 & 0 & 1 \\ 2 & 3 & 2 \\ 49 & 0 & 4 \end{array}]$
97	Find the Power Set	A=(2,3,4,5)	$A = (2, 3, 4, 5)$ $A = (2, 3, 4, 5)$
98	Find the Cardinality	(2,1)	$(2, 1)$ $(2, 1)$
99	Solve Using an Inverse Matrix	-3x-4y=2 , 8y=-6x-4	$- 3 x - 4 y = 2$ $- 3 x - 4 y = 2$ , $8 y = - 6 x - 4$ $8 y = - 6 x - 4$
100	Solve Using an Inverse Matrix	2x-5y=4 , 3x-2y=-5	$2 x - 5 y = 4$ $2 x - 5 y = 4$ , $3 x - 2 y = - 5$ $3 x - 2 y = - 5$