Q.

If A is a square matrix of order 2 x 2 such that |A| = 27, then sum of the infinite series |A|+12A+14A+18A+… is equal to __________.

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answer is 36.

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Detailed Solution

|A|+12A+14A+18A+…⇒ |A|+14|A|+116|A|+…⇒ |A|1−14=43|A|=36
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If A is a square matrix of order 2 x 2 such that |A| = 27, then sum of the infinite series |A|+12A+14A+18A+… is equal to __________.