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Ex 3.3, 5 (ii) - Chapter 3 Class 12 Matrices (Term 1)

Last updated at March 16, 2023 by

Ex 3.3, 5 - Chapter 3 Class 12 Matrices - Part 4

Ex 3.3, 5 - Chapter 3 Class 12 Matrices - Part 5
Ex 3.3, 5 - Chapter 3 Class 12 Matrices - Part 6

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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

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