$A$ is a square matrix with $|A| = -2$ . What is $|A^3|$ ?

-8

Correct answerYour answer

-6

Correct answerYour answer

6

Correct answerYour answer

8

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

$|A^3| = |A|^3$ , since the determinant of a product is the product of the determinants.
$(-2)^3 = -8$ .

Worth noting

$-6$ multiplies by 3 instead of raising to the power 3.

Ten questions from Determinants, Adjoint & Inverse, at your own pace.

Ten questions from Determinants, Adjoint & Inverse, at your own pace.

AAA is a square matrix with ∣A∣=−2|A| = -2∣A∣=−2. What is ∣A3∣|A^3|∣A3∣?