- if - A - n - bmatrix 2 -n 4 -3 -n 3lendbmatrix - - text then - n -1- infty - A - n-A- 0B- 1C- -1D- 1 - 3

The correct option is B 1 |A_n|=3/2^n 4/3^n ∑_n=1^∞|A_n|=3 2=1 ...

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Standard IX

Mathematics

Multiplication of Matrices

. if ∼ A - n ...

Question

$if A_{n} = [\begin{matrix} 2^{- n} & 4 3^{- n} & 3 \end{matrix}], then \sum_{n = 1}^{\infty} | A_{n} | =$

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Solution

The correct option is B
1

$| A_{n} | = \frac{3}{2^{n}} - \frac{4}{3^{n}}$
$\sum_{n = 1}^{\infty} | A_{n} | = 3 - 2 = 1$

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if An=[2−n43−n3], then ∑∞n=1|An|=

The correct option is B 1 |An|=32n−43n ∑∞n=1|An|=3−2=1

$if A_{n} = [\begin{matrix} 2^{- n} & 4 3^{- n} & 3 \end{matrix}], then \sum_{n = 1}^{\infty} | A_{n} | =$

The correct option is B
1

$| A_{n} | = \frac{3}{2^{n}} - \frac{4}{3^{n}}$
$\sum_{n = 1}^{\infty} | A_{n} | = 3 - 2 = 1$