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

Doorsteptutor material for NSTSE is prepared by world's top subject experts: Get full length tests using official NTA interface: all topics with exact weightage, real exam experience, detailed analytics, comparison and rankings, & questions with full solutions.

## 3.3 EXERCISE

Question 1:

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

. 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

(i)

(ii)

(iii)

Question 3:

Construct matrix where

(i)

(ii)

(i)

(ii)

Question 4:

Construct a matrix whose elements are given by

Question 5:

Find values of and if , where

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

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.