Determinants
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
If $A$ is a square matrix of order $3$ with $|A| = 4$, then $|A^{-1}|$ is:
(a) $\dfrac{1}{4}$
(b) $4$
(c) $\dfrac{1}{16}$
(d) $64$
Step-by-Step Solution
|A^{-1}| = 1 / |A| = 1/4. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Selecting $\dfrac{1}{4}$: 1.0 Mark
Correct Answer: $\dfrac{1}{4}$
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