Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \det(A) = -2, then \det((-\(A)^3) is:</p>
<p>(A) -8</p>
<p>(B) 8</p>
<p>(C) -64</p>
<p>(D) 64</p>
Step-by-Step Solution
Key Concept: det((-\(A)^3) = (-1)^(3 \times 3) \times (det \(A)^3.
1. \det((-\(A)^3) = \((-1)^9\) \times \((-2)^3\)
2. = (-1) \times (-8) = 8? Correction: -64
Correct Answer: 3