Math, asked by rishita183, 9 months ago

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 347bhuwanesh
0

Answer:

a)

Step-by-step explanation:

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Answered by Anonymous
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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