Answer: [[-2,1],[1.5,-0.5]].
- A [[-2,1],[1.5,-0.5]]
- B [[4,-2],[-3,1]]
- C [[1,2],[3,4]]
- D ||-4,2|,|3,-1||
Correct answer: A. [[-2,1],[1.5,-0.5]]
Explanation: det(A) = 4-6 = -2. adj(A) = [[4,-2],[-3,1]]. A<sup>-1</sup> = (1/-2)[[4,-2],[-3,1]] = [[-2,1],[1.5,-0.5]].
Concept context
Evaluation of determinants, cofactors, adjoint, inverse of matrix, Cramer's rule and area applications. Always in board and JEE.