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Question
Check whether the following matrix is invertible or not:
`((1,2,3),(2,-1,3),(1,2,3))`
Solution
Let A = `((1,2,3),(2,-1,3),(1,2,3))`
Then, |A| = `|(1,2,3),(2,-1,3),(1,2,3)|`
= 1(- 3 - 6) - 2(6 - 3) + 3(4 + 1)
= - 9 - 6 + 15
= 0
∴ A is a singular matrix.
Hence, A-1 does not exist.
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