Ex 3.3, 4 - Find (A + 2B)' if A' = [-2 1 3 2] - Matrices CBSE - Transpose of a matrix

  1. Chapter 3 Class 12 Matrices
  2. Serial order wise

Transcript

Ex 3.3, 4 If A = [ 8( 2&1@3&2)] and B = [ 8( 1&0@1&2)] , then find (A+ 2B) We need to find (A + 2B) Finding A A = [ 8(2&3@1&2)] A = (A ) = [ 8(2&1@3&2)] Also, B = [ 8( 1&0@1&2)] 2B = 2 [ 8( 1&0@1&2)] = [ 8(2( 1)&2(0)@2(1)&2(2))] = [ 8( 2&0@2&4)] A + 2B = [ 8( 2&1@3&2)] + [ 8( 2&0@2&4)] = [ 8(2+( 2)&1+0@3+2&2+4)] = [ 8(0&1@5&6)] (A + 2B) = [ 8( 4&1@5&6)] So, (A+2B) = [ 8( 4&5@1&6)]

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