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Determinants

Xam Idea

CBSE

Grade 12

Question:

If $A$ is a square matrix of order $2$ such that $|A| = -3$, then $|A^3|$ is:
(a) $-27$
(b) $27$
(c) $-9$
(d) $9$

Step-by-Step Solution

Key Concept: |A^3| = (-3)^3 = -27.

The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.

Correct Answer: $-27$

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