Using properties of determinants prove that:
[R1’ = R1 - R2 & R2’ = R2 - R3]
[R1’ = R1/(b - a) & R2’ = R2/(c - b)]
= (b - a)(c - b)[0 + 0 + 1{(c + b) - (b + a)}] [expansion by first column]
= (a - b)(b - c)(c - a)
1
Using properties of determinants prove that:
[R1’ = R1 - R2 & R2’ = R2 - R3]
[R1’ = R1/(b - a) & R2’ = R2/(c - b)]
= (b - a)(c - b)[0 + 0 + 1{(c + b) - (b + a)}] [expansion by first column]
= (a - b)(b - c)(c - a)