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Question
Find the rank of the following matrices
`((1, 4),(2, 8))`
Solution
Let A = `((1, 4),(2, 8))`
Order of A is 2 × 2
∴ p(A) ≤ 2
Consider the second order minor = `|(1, 4),(2, 8)|`
= 8 – 8
= 0
Since the second are minor vanishes, P(A) ≠ 2
Consider a first order minor |1| ≠ 0
There is a minor of order 1, which is not zero
∴ p(A) = 1
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