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Identity Matrix

if for a matt...

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if for a mattix A,A^2+I =0,where I is the identity matrix ,then A equal

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Q. If for a matrix

A, A^{2} + I = O

I

is the identity matrix, then

A

A

A^{2} = 2 A - I

I

is the identity matrix, then for

n \geq 2

n \in N; A^{n}

Q. If for a matrix

A, A + I = O

I

is an identity matrix, then

A

Q. If for any square matrix

A^{2}

(I + A)^{n}

is equal to (where I is identity matrix)

Q. If A is a square matrix such that

A^{2} = I

where I is the identity matrix, then what is

A^{- 1}

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