Determinants
RS Aggarwal
CBSE
Grade 12
Question:
If $A = \begin{bmatrix} 3 & 4 \\ 1 & 2 \end{bmatrix}$, then $|A^{-1}|$ is:
(a) $\dfrac{1}{2}$
(b) $2$
(c) $\dfrac{1}{10}$
(d) $\dfrac{1}{5}$
Step-by-Step Solution
Key Concept: |A| = 2 => |A^{-1}| = 1/2.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: $\dfrac{1}{2}$
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