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Question
Find the matrix X such that AX = B, where A = `[(1,2),(-1,3)]` and B = `[(0,1),(2,4)]`
Solution
AX = B
∴ `[(1,2),(-1,3)] "X" = [(0,1),(2,4)]`
By R2 +R1, we get,
`[(1,2),(0,5)] "X" = [(0,1),(2,5)]`
By `(1/5)"R"_2,` we get,
`[(1,2),(0,1)] "X" =[(0,1),(2/5,1)]`
By R1 - 2R2, we get,
`[(1,0),(0,1)] "X" = [(-4/5,-1),(2/5,1)]`
∴ X = `[(-4/5,-1),(2/5,1)]`
Notes
The answer in the textbook is incorrect.
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