Check whether the following matrices are invertible or not: [345110145] - Mathematics and Statistics

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Sum

Check whether the following matrices are invertible or not:

`[(3, 4, 5),(1, 1, 0),(1, 4, 5)]`

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Solution

Let A = `[(3, 4, 5),(1, 1, 0),(1, 4, 5)]`

Then, |A| = `|(3, 4, 5),(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.
∴ A is invertible.

  Is there an error in this question or solution?
Chapter 2: Matrices - Miscellaneous Exercise 2 [Page 85]

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