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Question
Find the rank of the following matrices
`((5, 6),(7, 8))`
Solution
Let A = `((5, 6),(7, 8))`
Order of A is 2 × 2
∴ p(A) ≤ 2
Consider the second order minor = `|(5, 6),(7, 8)|`
= 40 – 42
|A| = – 2 ≠ 0
There is a minor of order 2, which is not zero
p(A) = 2
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