What is the inverse of the matrix ?
Answer and explanation
Correct answer: A.
- Step 1: Compute determinant: .
- Step 2: Apply inverse formula for matrix: .
- Step 3: Swap diagonal elements () and negate off-diagonals ().
- Step 4: .
Answer
[[2, -1], [-5, 3]].
Why not the others: The option with all signs reversed (first row ) negates the entire matrix; the option with first row fails to swap diagonals; the option with first row fails to negate off-diagonals.
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