Home > Algebra > jee_main_2026_april_4_shift_1 > 30804c78-3182-411d-a794-5d5162472df0

Not the exact question you were looking for?

Paste your question to our Mathbee AI Mentor below to get an instant step-by-step solution.

Algebra

Matrices, Inverse of Matrices

jee_main_2026_april_4_shift_1

Grade 12

Question:

If A = [[2, 3], [1, 2]], then A^{-1} is:

A. [[2, -3], [-1, 2]]

B. [[-2, 3], [1, -2]]

C. [[2, 3], [1, 2]]

D. [[-2, -3], [-1, -2]]

Step-by-Step Solution

Key Concept: For 2×2 matrix, A^{-1} = 1/det(A) [[d, -b], [-c, a]].

Step 1: det(A) = 2×2 - 3×1 = 1. Step 2: A^{-1} = [[2, -3], [-1, 2]].

Correct Answer: A

Mathbee AI Mentor (Free Demo)

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.