Let $f (x) = \frac{1 + x}{1 - x}$ . If $A$ is matrix for which $A^{3} = O, t h e n f (A)$ is (a) $I + A + A^{2}$ (b) $I + 2 A + 2 A^{2}$ (c) $I - A - A^{2}$ (d) none of these

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Chloe Discussed

Let

f (x) = \frac{1 + x}{1 - x}

. If

A

is matrix for which

A^{3} = O, t h e n f (A)

is (a)

I + A + A^{2}

(b)

I + 2 A + 2 A^{2}

(c)

I - A - A^{2}

(d) none of these

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Question Text

Let

f (x) = \frac{1 + x}{1 - x}

. If

A

is matrix for which

A^{3} = O, t h e n f (A)

is (a)

I + A + A^{2}

(b)

I + 2 A + 2 A^{2}

(c)

I - A - A^{2}

(d) none of these

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