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Precalculus · N-VM

2×2 Matrix Inverse and Determinant

For 2×2 matrix [[a,b],[c,d]], det = ad−bc. If det ≠ 0, inverse = (1/det) × [[d,−b],[−c,a]].

PrecalculusCommon Core HSN-VM.C.10N-VMVerified correct ✓

Worked examples

For the 2×2 matrix A = [[-2, -4], [-3, 2]], compute det(A). (Enter the determinant value.)
Answer: -16

For the 2×2 matrix A = [[3, -4], [-1, 4]], compute det(A). (Enter the determinant value.)
Answer: 8

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