# NCERT Class 12-Mathematics: Exemplar Chapter – 4 Determinants Part 14 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 46**:

________.

**Answer**:

**Question 47**:

If ________.

**Answer**:

Zero

## State True or False for the Statements of the Following Exercises

**Question 48**:

, where A is a square matrix and .

**Answer: True**

**Question 49**:

where is any real number and A is a square matrix.

**Answer: False**

**Question 50**:

, where A is non-singular matrix.

**Answer: False**

**Question 51**:

If A and B are matrices of order 3 and , then .

**Answer: True**

**Question 52**:

If the value of a third order determinant is , then the value of the determinant formed by replacing each element by its co-factor will be .

**Answer: True**

**Question 53**:

, where a, b, c are in A. P.

**Answer: True**

**Question 54**:

, where A is a square matrix of order two.

**Answer False**

**Question 55**:

The determinant is equal to zero.

**Answer: True**

**Question 56**:

If the determinant splits into exactly K determinants of order 3, each element of which contains only one term, then the value of K is 8.

**Answer: True**

**Question 57**:

Let

**Answer: True**

**Question 58**:

The maximum value of is .

**Answer: True**