Question

If A IS a square matrix of order 3 and its determinant is |A| = −3, then the value of |−4A| is ______.

Options

• 202

• 192

• −212

• −192

Answer 1

If A IS a square matrix of order 3 and its determinant is |A| = −3, then the value of |−4A| is 192.

Explanation:

∣kA∣ = kⁿ ∣A∣

Here, n=3n, k = −4k, and ∣A∣ = −3

∣−4A∣ = (−4) 3 × (−3)

= −64 × (−3)

= 192