# NCERT Class 12-Mathematics: Exemplar Chapter – 3 Matrices Part 20 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 52**:

Express the matrix as the sum of a symmetric and a skew symmetric matrix.

**Answer**:

We have,

Now,

## Objective Type Questions

### Choose the Correct Answer from the Given Four Options in Each of the Exercises 53 to 67

**Question 53**:

The matrix is a

(A) Square matrix

(B) Diagonal matrix

(C) Unit matrix

(D) None

**Answer: (A)**

**Question 54**:

Total number of possible matrices of order with each entry or is

(A)

(B)

(C)

(D)

**Answer: (D)**

**Question 55**:

If , then the value of is

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 56**:

If then is equal to

(A)

(B)

(C)

(D)

**Answer: (D)**

**Question 57**:

If A and B are two matrices of the order and , respectively, and , then the order of matrix is

(A)

(B)

(C)

(D)

**Answer: (D)**

**Question 58**:

If then is equal to

(A)

(B)

(C)

(D)

**Answer: (D)**