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

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Question

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]]`

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APPEARS IN

 2016-2017 (March) (with solutions)
Question 1.1.2 | 2.00 marks
Solution The Inverse of the Matrix -1,5,-3,2 is Concept: Matrices - Inverse of a Matrix Existance.
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