if A=[1 2 3 ] , B = [2/0/5 -3/4/9],C =6/1 4/8] verify that ( AB)C =A(BC)
Answer (1)
13th Dec, 2020
Dear student,
We have to verify that (AB)C = A(BC).
Now firstly we perform (AB). A is a 1*3 matrix, B is a 3*2 matrix and C is a 2*2 matrix.
now AB = [17 32] i.e. a 1*2 matrix
now (AB)C = [230 273] i.e a 1*2 matrix
On the other hand we have :
BC = [ 0/16/66 -22/32/77] i.e. a 3*2 matrix
now A(BC) = [ 230 273]
Now clearly we see that (AB)C = A(BC)
Hence we can say that matrices multiplication follows the associative law.
Hope it helps.
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