Ex 3.3

Chapter 3 Class 12 Matrices
Serial order wise

Get live Maths 1-on-1 Classs - Class 6 to 12

### Transcript

Ex 3.3, 5 For the matrices A and B, verify that (AB) = B A , where (ii) A = [ 8([email protected]@2)] , B = [1 5 7] Taking L.H.S (AB) Finding AB AB = [ 8([email protected]@2)]_(3 1) "[1 5 7]" _(1 3) = [ 8(0 1&0 5&0 [email protected] 1&1 5&1 [email protected] 1&2 5&2 7)]_(3 3) = [ 8(0&0&[email protected]&5&[email protected]&10&14)] Thus, AB = [ 8(0&0&[email protected]&5&[email protected]&10&14)] So, (AB) = [ 8(0&1&[email protected]&5&[email protected]&7&14)] Taking R.H.S (B A ) Finding B B = [1 5 7] B = [ 8([email protected]@7)] Also, A = [ 8([email protected]@2)] A = [0 1 2] B A = [ 8([email protected]@7)]_(3 1) "[0 1 2] " _(1 3) = [ 8(1 0&1 1&1 [email protected] 0&5 1&5 [email protected] 0&7 1&7 2)]_(3 3) = [ 8(0&1&[email protected]&5&[email protected]&7&14)] = L.H.S Hence L.H.S = R.H.S Hence proved

Made by

#### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.