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The inverse of the matrix [[2,0,0],[0,1,0],[0,0,-1]] is - HSC Arts 12th Board Exam - Mathematics and Statistics

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Question

The inverse of the matrix `[[2,0,0],[0,1,0],[0,0,-1]]`is --------

(a) `[[1/2,0,0],[0,1,0],[0,0,-1]]`

(b) `[[-1/2,0,0],[0,-1,0],[0,0,1]]`

(c) `[[-1,0,0],[0,-1/2,0],[0,0,1/2]]`

(d) `1/2[[-1/2,0,0],[0,-1,0],[0,0,-1]]`

Solution

a) `[[1/2,0,0],[0,1,0],[0,0,-1]]`

  Is there an error in this question or solution?

APPEARS IN

 2013-2014 (October) (with solutions)
Question 1.1.2 | 2.00 marks
Solution The inverse of the matrix [[2,0,0],[0,1,0],[0,0,-1]] is Concept: Matrices - Inverse of a Matrix Existance.
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