# NCERT Class 12-Mathematics: Exemplar Chapter –3 Matrices Part 4

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## Objective Type Questions

### Choose the Correct Answer from the Given Four Options in Examples 9 to 12

Question 9:

If A and B are square matrices of the same order, then is equal to

(A)

(B)

(C)

(D)

Question 10:

If

(A) Only AB is defined

(B) Only BA is defined

(C) AB and BA both are defined

(D) AB and BA both are not defined.

Let Both AB and BA are defined.

Question 11:

The matrix is a

(A) Scalar matrix

(B) Diagonal matrix

(C) Unit matrix

(D) Square matrix

Question 12:

If A and B are symmetric matrices of the same order, then is a

(A) Skew symmetric matrix

(B) Null matrix

(C) Symmetric matrix

(D) None of these

### Fill in the Blanks in Each of the Examples 13 to 15

Question 13:

If A and B are two skew symmetric matrices of same order, then AB is symmetric matrix if ________.

.

Question 14:

If A and B are matrices of same order, then is equal to ________.

.

Question 15:

Addition of matrices is defined if order of the matrices is ________

Same.

### State Whether the Statements in Each of the Examples 16 to 19 is True or False

Question 16:

If two matrices A and B are of the same order, then .

Question 17:

Matrix subtraction is associative

Question 18:

For the non-singular matrix .