Using properties of determinants prove that:
[R1’ = R1 + R2 + R3]
[R1’ = R1/2]
[R1’ = R1 - R2 & R2’ = R2 - R3]
= 2[c{a(a + b) - ( - ac)} + 0 + a{c(b - c) - ac}] [expansion by first row]
= 2(a2c + abc + ac2 + abc - ac2 - a2c)
= 4abc
1
Using properties of determinants prove that:
[R1’ = R1 + R2 + R3]
[R1’ = R1/2]
[R1’ = R1 - R2 & R2’ = R2 - R3]
= 2[c{a(a + b) - ( - ac)} + 0 + a{c(b - c) - ac}] [expansion by first row]
= 2(a2c + abc + ac2 + abc - ac2 - a2c)
= 4abc