Question

If A is a square matrix of order 2 and |A| = −2, then value of |5A'| is ________.

Options

• −50

• −10

• 10

• 50

Answer 1

If A is a square matrix of order 2 and |A| = −2, then value of |5A'| is −50.

Explanation:

Given, |A| = −2

and |A'| = −2

Now, |5A'| = |5A|

|5A'| = 5² |A|    ...`[([Matrix is 2 × 2]),(|KA| = K^2 |A|)]`

= 25 × (−2)

= −50