Find X and Y, If 2 X X Y 3 Y 3 2 = 16 9 - Mathematics

Find X and Y, if
`[(2x, x),(y , 3y)][(3),(2)] = [(16),(9)]`

Sum

`[(2x, x),(y , 3y)][(3),(2)] = [(16),(9)]`
`[(6x + 2x),(3y + 6y)] = [(16),(9)]`
`[(8x),(9y)] = [(16),(9)]`
8x = 16, x = 2
9y = 9, y = 1.

shaalaa.com

Is there an error in this question or solution?

Chapter 10: Matrices - Determine the following

Chapter 10 Matrices
Determine the following | Q 9

Given A = `[(2, 0),(-1, 7)]` and I = `[(1, 0),(0, 1)]` and A² = 9A + ml. Find m.

Find x and y if `[(x,3x),(y, 4y)] = [(5),(12)]`

Evaluate:

`[(4 sin 30°, 2 cos 60°),(sin 90°, 2 cos 0°)] [(4, 5),(5, 4)]`

If A = `[(1, 2),(2, 1)]` and B = `[(2, 1),(1, 2)]`; find A(BA)

Let A = `[(4, -2),(6, -3)]`, B = `[(0, 2),(1, -1)]` and C = `[(-2, 3),(1, -1)]`. Find A² – A + BC

If A = `|(1215),(1117)|` and B = `|(2,7),(4,9)|` find A - 2B

Given that A = `[(3, 0),(0, 4)]` and B = `[(a, b),(0, c)]` and that AB = A + B, find the values of a, b and c.

Find x and y if
`[( x , 3x),(y , 4y)][(2),(1)] = [(5),(12)]`.

Find the values of x, y and z if `[(x + 2, 6),(3, 5z)] = [(-5, y^2 + y),(3, 20)]`

Choose the correct answer from the given four options :

If `[(x - 2y, 5),(3, y)] = [(6, 5),(3, -2)]` then the value of x is