# NCERT Class 12-Mathematics: Exemplar Chapter –3 Matrices Part 20

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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)**