If A and B be a same order of matrices and AB = BA, then
(a) Either A or B is a unit matrix
(b) Neither A nor B is a unit matrix
(c) 'a' true, 'b' false
(d) 'a' false, 'b' true
Answers
Answered by
0
Answer:
a)
Step-by-step explanation:
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Answered by
1
Step-by-step explanation:
Given, A=A
B=B
Now (A(BA))=(BA)A=(AB)A=(AB)A
=A(BA)
Similarly ((AB)A)=(AB)A
So, A(BA) and (AB)A are symmetric matrices.
Again (AB)=BA
Now if BA=AB, then AB is symmetric matrix.
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
Hence, option 'B' is correct.
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