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Question
Check whether the following matrix is invertible or not:
`((3,4,3),(1,1,0),(1,4,5))`
Solution
Let A = `((3,4,3),(1,1,0),(1,4,5))`
Then, |A| = `|(3,4,3),(1,1,0),(1,4,5)|`
= 3(5 - 0) - 4(5 - 0) + 3(4 - 1)
= 15 - 20 + 9
= 4 ≠ 0`
∴ A is a non - singular matrix.
Hence, A-1 exists.
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