Using properties of determinants prove that:

[R₁’ = R₁ - R₂ & R₂’ = R₂ - R₃]

[R₁’ = R₁/a & R₂’ = R₂/a]

= a²[a + z - ( - y) - ( - x)] [expansion by first row]

= a²(a + x + y + z)

6

Using properties of determinants prove that:

7

Using properties of determinants prove that:

9

Using properties of determinants prove that:

10

Using properties of determinants prove that: