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Question
Find the rank of the following matrices by minor method:
`[(2, -4),(-1, 2)]`
Solution
A = `[(2, -4),(-1, 2)]`
A is a matrix of order 2 × 2 and P(A) ≤ 2
Second order minor
|A| = `[(2, -4),(-1, 2)]`
= 4 – 4
= 0
∴ P(A) ≠ 2
First order minor is non vanishing
P(A) = 1
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