Let aandb be two real numbers such that a>1,b>1. If A=(a00b), then (lim)n→∞A−n is (a) unit matrix (b) null matrix (c) 2I (d) non of these

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Let {a}{{and}}{b} be two real numbers such that {a}>{1},{b}>{1

Question

Let $a and b$ be two real numbers such that $a > 1, b > 1 .$ If $A = (a 0 0 b),$ then $(lim)_{n \to \infty} A^{- n}$ is (a) unit matrix (b) null matrix (c) $2 I$ (d) non of these

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Elizabeth Discussed

Let

a and b

be two real numbers such that

a > 1, b > 1 .

A = (a 0 0 b),

then

(lim)_{n \to \infty} A^{- n}

is (a) unit matrix (b) null matrix (c)

2 I

(d) non of these

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Discuss this question LIVE

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Question Text

Let

a and b

be two real numbers such that

a > 1, b > 1 .

A = (a 0 0 b),

then

(lim)_{n \to \infty} A^{- n}

is (a) unit matrix (b) null matrix (c)

2 I

(d) non of these