Q. 575.0( 1 Vote )

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We are given that,

We need to find the value of (x – y).

Take,

Multiplying 2 by each element of the matrix,

In addition of matrices, we need to add the corresponding elements of the matrices.

So,

We know by the property of matrices,

This implies,

a11 = b11, a12 = b12, a21 = b21 and a22 = b22

So,

7 = 7

8 + y = 0 …(i)

10 = 10

2x + 1 = 5 …(ii)

Let us find x and y using the equations (i) and (ii).

From equation (i),

8 + y = 0

y = -8

From equation (ii),

2x + 1 = 5

2x = 5 – 1

2x = 4

x = 2

So, x = 2 and y = -8.

Then,

x – y = 2 – (-8)

x – y = 2 + 8

x – y = 10

Thus, the value of (x – y) is 10.

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