Maharashtra State BoardHSC Arts 12th Board Exam
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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]]`

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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
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