Question

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Answer 1

Answer:

A = [(2, -1),(-4, 5)]` and B = [0-3]

Let matrix C= [x_y]

Since the matrix A is 2 x 2 and B = 7 x

2

ICSE Class 10

CA = B

`(x y) [(2, -1),(-4, 5)]` = [0 −3]

= (2x - 4y -x + 5y)

= [0-3]

Comparing,

2x - 4y = 0

⇒ x - 2y = 0

:: x = 2y

and

-x + 5y = -3

⇒-2y + 5y = -3

→ 3y = -3⇒ y = -1

:: x = 2y

= 2x (-1)

= -2

Hence C

= [x_y]

= [-2 -1].