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Question
Find the rank of the following matrices
`((1, -1),(3, -6))`
Solution
Let A = `((1, -1),(3, -6))`
Order of A is 2 × 2
∴ p(A) ≤ 2
Consider the second order minor = `|(1, -1),(3, -6)|`
= – 6 – (– 3)
= – 6 + 3
= – 3
|A| ≠ 0
There is a minor of order 2, which is not zero
∴ p(A) = 2
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