HSC Science (General) 12th Board ExamMaharashtra State Board
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Solution - The Inverse of the Matrix [[-1,5],[-3,2]] is - HSC Science (General) 12th Board Exam - Mathematics and Statistics

Question

The inverse of the matrix `[[-1,5],[-3,2]]` is_______

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

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

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

(D) 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 marks
Solution for question: The Inverse of the Matrix [[-1,5],[-3,2]] is concept: null - Inverse of a Matrix Existance. For the courses HSC Science (General) , HSC Science (Computer Science), HSC Arts, HSC Science (Electronics)
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