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ID:
Class: 12
Subject: Math
Topic: Matrices and Determinants
Type: Mcq
Year: 2025
Question:
If \(A\) and \(B\) are invertible matrices, then which of the following is \underline{not correct}?
A.
\((A + B)^{-1} = B^{-1} + A^{-1}\)
B.
\((AB)^{-1} = B^{-1} A^{-1}\)
C.
\(\text{adj}(A) = |A| A^{-1}\)
D.
\(|A^{-1}| = |A|^{-1}\)
Official Solution
Correct Answer:
\((A + B)^{-1} = B^{-1} + A^{-1}\)
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