If A = [1 2; 3 4], then A⁻¹ equals: A. [−2 1; 3/2 −1/2] B. [−4 2; 3 −1] × 1/2 C. [4 −2; −3 1] × 1/2 D. [−2 1; 1.5 −0.5] Answer: D) [−2 1; 1.5 −0.5] Explanation: det A = 1×4 − 2×3 = −2. adj A = [4 −2; −3 1]. A⁻¹ = adj A / det A = [4 −2; −3 1] / (−2) = [−2 1; 1.5 −0.5]. Option 3 matches.

imo class 12 determinants

If A = [1 2; 3 4], then A⁻¹ equals:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If A = [1 2; 3 4], then A⁻¹ equals:

Answer: D) [−2 1; 1.5 −0.5]

Explanation: det A = 1×4 − 2×3 = −2. adj A = [4 −2; −3 1]. A⁻¹ = adj A / det A = [4 −2; −3 1] / (−2) = [−2 1; 1.5 −0.5]. Option 3 matches.