Using properties of determinants prove that:
[C1’ = C1 - C2 & C2’ = C2 - C3]
[C1’ = C1/(a - b) & C2’ = C2/(b - c)]
= (a - b)(b - c)[0 + 0 + 1{ - a - ( - c)}] [expansion by first row]
= (a - b)(b - c)(c - a)
1
Using properties of determinants prove that:
[C1’ = C1 - C2 & C2’ = C2 - C3]
[C1’ = C1/(a - b) & C2’ = C2/(b - c)]
= (a - b)(b - c)[0 + 0 + 1{ - a - ( - c)}] [expansion by first row]
= (a - b)(b - c)(c - a)