NCERT Class 12-Mathematics: Exemplar Chapter –4 Determinants Part 14

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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