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Question
Identify the singular and non-singular matrices:
`[(0, "a" - "b", "k"),("b" - "a", 0, 5),(-"k", -5, 0)]`
Solution
Let C = `[(0, "a" - "b", "k"),("b" - "a", 0, 5),(-"k", -5, 0)]`
|C| = `|(0, "a" - "b", "k"),("b" - "a", 0, 5),(-"k", -5, 0)|`
|C| = 0 – (a – b) (0 + 5k) + k(– 5(b – a) – 0)
|C| = – 5k(a – b) – 5k(b – a)
|C| = – 5k(a – b) + 5k(a – b)
|C| = 0
∴ C is a singular matrix.
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