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If {A}{a}{n}{d}{B} are two matrices such that {A}{B}={B}{a}{n}

Question

If $A a n d B$ are two matrices such that $A B = B a n d B A = A, t h e n$ $(A^{5} - B^{5})^{3} = A - B$ b. $(A^{5} - B^{5})^{3} = A^{3} - B^{3}$ c. $A - B$ is idempotent d. none of these

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A a n d B

are two matrices such that

A B = B a n d B A = A, t h e n

(A^{5} - B^{5})^{3} = A - B

(A^{5} - B^{5})^{3} = A^{3} - B^{3}

A - B

is idempotent d. none of these

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Question Text

A a n d B

are two matrices such that

A B = B a n d B A = A, t h e n

(A^{5} - B^{5})^{3} = A - B

(A^{5} - B^{5})^{3} = A^{3} - B^{3}

A - B

is idempotent d. none of these

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