If A is a 3×3 matrix with |A| = 0, then the inverse A⁻¹:
If A is a 3×3 matrix with |A| = 0, then the inverse A⁻¹:
- A. Is a zero matrix
- B. Is an identity matrix
- C. Does not exist
- D. Has |A⁻¹| = 0
Answer: C) Does not exist
Explanation: A⁻¹ = adj(A)/|A|. If |A| = 0, division by zero is undefined, so the inverse does not exist.
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