Q38 of 58 Page 77

Fill in the blanks

If A is a matrix of order 3 × 3, then |3A| = ___.

If A is a matrix of order 3 × 3, then |3A| = 27 |A|.

Explanation:


We know that if A = [aij]3×3, then |k.A| = k3|A|


∴ |3A| = 33 |A| = 27 |A|


More from this chapter

All 58 →
36

The value of the determinant is

 37

There are two values of a which makes determinant, ,then sum of these number is

 39

Fill in the blanks

If A is invertible matrix of order 3 × 3, then |A-1|= ____.

 40

Fill in the blanks

If x, y, z ∈ R, then the value of determinant is equal to ___.