NCERT Class 12-Mathematics: Exemplar Chapter – 3 Matrices Part 5 (For CBSE, ICSE, IAS, NET, NRA 2022)

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3.3 EXERCISE

Short Answer (S. A)

Question 1:

If a matrix has elements, what are the possible orders it can have? What if it has elements?

Answer:

. If matrix has elements then its order will be either or .

Question 2:

In the matrix , write

(i) The order of the matrix A

(ii) The number of elements

(iii) Write elements

Answer:

(i)

(ii)

(iii)

Question 3:

Construct matrix where

(i)

(ii)

Answer:

(i)

(ii)

Question 4:

Construct a matrix whose elements are given by

Answer:

Question 5:

Find values of and if , where

Answer:

Also,

By equality of matrices we know that each element of A is equal to the corresponding element of that is for all and .

And

Question 6:

If possible, find the sum of the matrices A and B, where

Answer:

Here, A and B are of different orders. Also, we know that addition of two matrices A and B is possible only if order of both the matrices A and B should be same.

Hence, the sum of matrices A and B is not possible.

Question 7:

If

(i)

(ii)

(iii) A matrix Z such that is a zero matrix.

Answer:

(i)

(ii)

And

(iii)

Also,

We see that Z is the additive inverse of or negative of