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Question
Check whether the following matrix is invertible or not:
`((1,2,3),(3,4,5),(4,6,8))`
Solution
Let A =`((1,2,3),(3,4,5),(4,6,8))`
Then, |A| = `|(1,2,3),(3,4,5),(4,6,8)|`
= 1 (32 - 30) - 2 (24 - 20) + 3(18 - 16)
= 2 - 8 + 6
= 0
∴ A is a singular matrix.
Hence, A-1 does not exist.
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