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RD Chapter 5 Algebra of Matrices Ex 5.2 Solutions

Question - 1 : -

Answer - 1 : -

(i) Given

Corresponding elements of two matrices should be added

Therefore, we get

Therefore,

(ii) Given

Therefore,

Question - 2 : -

Find each of thefollowing:

(i) 2A – 3B

(ii) B – 4C

(iii) 3A – C

(iv) 3A – 2B + 3C

Answer - 2 : -

(i) Given

First we have to compute 2A

Now by computing 3B we get,

Now by we have to compute 2A – 3B we get

Therefore

(ii) Given

First we have to compute 4C,

Now,

Therefore we get,

(iii) Given

First we have to compute 3A,

Now,

Therefore,

(iv) Given

First we have to compute 3A

Now we have to compute 2B

By computing 3C we get,

Therefore,

Question - 3 : -

(i) A + B and B + C

(ii) 2B + 3A and 3C– 4B

Answer - 3 : -

(i) Consider A + B,

A + B is not possible because matrix A is an order of 2 x 2 andMatrix B is an order of 2 x 3, so the Sum of the matrix is only possible whentheir order is same.

Now consider B + C

(ii) Consider 2B + 3A

2B + 3A also does not exist because the order of matrix B andmatrix A is different, so we cannot find the sum of these matrix.

Now consider 3C – 4B,

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