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Question
Identify the singular and non-singular matrices:
`[(2, -3, 5),(6, 0, 4),(1, 5, -7)]`
Solution
Let B = `[(2, -3, 5),(6, 0, 4),(1, 5, -7)]`
|B| = `|(2, -3, 5),(6, 0, 4),(1, 5, -7)|`
|B| = 2(0 – 20) + 3(– 42 – 4) + 5(30 – 0)
|B| = – 40 + 3 × – 46 + 150
|B| = – 40 – 138 + 150
|B| = – 178 + 150 ≠ 0
∴ B is non singular.
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