Question

Find the rank of the following matrices by minor method:

`[(-1, 3),(4, 7),(3, 4)]`

Answer 1

A = `[(-1, 3),(4, 7),(3, 4)]`

A is a matrix of order 3 × 2 and P(A) ≤ 2

Second order minor

`[(-1, 3),(4, -7)]`

= 7 – 12

= – 5 ≠ 0

∴ P(A) = 2