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Question
If I is a unit matrix of order 2 and M + 4I = `[(8, -3),(4, 2)]`, the matrix M is ______.
Options
`[(4, 3),(4, -2)]`
`[(4, 3),(4, 2)]`
`[(4, -3),(-4, 2)]`
`[(4, -3),(4, -2)]`
MCQ
Fill in the Blanks
Solution
If I is a unit matrix of order 2 and M + 4I = `[(8, -3),(4, 2)]`, the matrix M is `underlinebb([(4, -3),(4, -2)])`.
Explanation:
Given M + 4I = `[(8, -3),(4, 2)]`
∴ M = `[(8, -3),(4, 2)] - 4I`
= `[(8, -3),(4, 2)] - 4[(1, 0),(0, 1)]`
= `[(8, -3),(4, 2)] - [(4, 0),(0, 4)]`
= `[(8 - 4, -3 - 0),(4 - 0, 2 - 4)]`
= `[(4, -3),(4, -2)]`
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