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Question
Find the rank of the following matrices by minor method:
`[(1, -2 - 1, 0),(3, -6 - 3, 1)]`
Solution
A = `[(1, -2 - 1, 0),(3, -6 - 3, 1)]`
A is a matrix of order 2 × 4 and P(A) ≤ 2
Second order minor
`|(1, -2),(3, -6)| = - 6 + 6` = 0
`|(-2, -1),(-6, -3)| = 6 - 6` = 0
`|(-1, 0),(-3, 1)| = -1 + 0` = 1 ≠ 0
∴ P(A) = 2
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