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Inverse of a Matrix

If A is squar...

Question

If A is square matrix such that then is equal to

A. A B. I − A C. I D. 3A

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Solution

Answer: C

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Q. If A is a square matrix such that A² = A, then (I + A)³ − 7A is equal to
(a) A
(b) I − A
(c) I
(d) 3A

Q. If A is a square matrix such that A² = I, then (A − I)³ + (A + I)³ − 7A is equal to

(a) A
(b) I − A
(c) I + A
(d) 3A

A

is square matrix such that

A^{2} = A

{(I + A)}^{3} - 7 A

A

is a square matrix such that

A^{2} = A

(I + A)^{3} - 7 A

Q. If A is a square matrix such that

A^{2} = A

,then write the value of

7 A - {(I + A)}^{3}

,Where i is an identify matrix

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