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Question
The inverse of the matrix A = `[(3, 0, 0),(0, 4, 0),(0, 0, 5)]` is ______.
Options
`[(3, 0, 0),(0, 4, 0),(0, 0, 5)]`
`[(1/3, 0, 0),(0, 1/4, 0),(0, 0, 1/5)]`
`1/60[(1, 0, 0),(0, 1, 0),(0, 0, 1)]`
`1/60[(1/3, 0, 0),(0, 1/4, 0),(0, 0, 1/5)]`
MCQ
Fill in the Blanks
Solution
The inverse of the matrix A = `[(3, 0, 0),(0, 4, 0),(0, 0, 5)]` is `[(1/3, 0, 0),(0, 1/4, 0),(0, 0, 1/5)]`.
Explanation:
The inverse of diagonal matrix `[(1/"a", 0, 0),(0, 1/"b", 0),(0, 0, 1/"c")]`
∴ The inverse of the given diagonal matrix is `"A"^-1 = [(1/3, 0, 0),(0, 1/4, 0),(0, 0, 1/5)]`
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