Question

Find the rank of the following matrices by minor method:

`[(1, -2 - 1, 0),(3, -6 - 3, 1)]`

Answer 1

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