MHT CET202616 April 2026Morning ShiftMathematicsMatricesActual

Inverse of bmatrix 3 & -2 1 & 4 bmatrix is

Options

Abmatrix 2 7 & 1 7 - 1 14 & 3 14 bmatrix
Bbmatrix 3 14 & - 1 7 1 14 & 2 7 bmatrix
Cbmatrix 2 7 & - 1 7 1 14 & 3 14 bmatrix
Dbmatrix - 3 14 & 1 7 1 14 & 2 7 bmatrix

Correct answer

A. bmatrix 2 7 & 1 7 - 1 14 & 3 14 bmatrix

Step-by-step solution

Let A = bmatrix 3 & -2 1 & 4 bmatrix The determinant of A is |A| = (3)(4) - (-2)(1) = 12 + 2 = 14 The adjugate of A is adj (A) = bmatrix 4 & 2 -1 & 3 bmatrix The inverse of A is given by A⁻¹ = 1 |A| adj (A) A⁻¹ = 1 14 bmatrix 4 & 2 -1 & 3 bmatrix = bmatrix 4 14 & 2 14 - 1 14 & 3 14 bmatrix = bmatrix 2 7 & 1 7 - 1 14 & 3 14 bmatrix Answer: bmatrix 2 7 & 1 7 - 1 14 & 3 14 bmatrix

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