The Inverse of the Matrix -1,5,-3,2 is - Mathematics and Statistics

MCQ
Sum

The inverse of the matrix [[-1,5],[-3,2]] is _______

Options

• 1/13[[2,-5],[3,-1]]

• 1/13 [[-1,5],[-3,2]]

• 1/13 [[-1,-3],[5,2]]

• 1/13 [[1,5],[3,-2]]

Solution

(A) 1/13[[2,-5],[3,-1]]

|A| = - 2 + 15 = 13

A^-1 = ("adj" A)/|A| = ([[2,-5],[3,-1]])/13

A^-1=1/13[[2,-5],[3,-1]]

Concept: Matrices - Inverse of a Matrix Existance
Is there an error in this question or solution?