Determinants
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
If $A$ is an invertible matrix of order $2$, then $\det(A^{-1})$ is equal to:
(a) $\dfrac{1}{\det(A)}$
(b) $\det(A)$
(c) $1$
(d) $0$
Step-by-Step Solution
\det(A^{-1}) = 1 / \det(A). [1.0 Mark]
---
🎯 Official CBSE Marking Scheme:
Selecting $\dfrac{1}{\det(A)}$: 1.0 Mark
Correct Answer: $\dfrac{1}{\det(A)}$
Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.