$⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦$
The new matrix obtained after adding $2^{n d} r o w t o 3 t i m e s 3^{r d} r o w$ is

⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 25 & 29 & 33 \end{matrix} ⎤ ⎥ ⎦

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⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 25 & - 29 & - 33 4 & 5 & 6 \end{matrix} ⎤ ⎥ ⎦

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⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 7 & 8 & 9 4 & 5 & 6 \end{matrix} ⎤ ⎥ ⎦

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⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 - 25 & - 29 & - 33 4 & 5 & 6 \end{matrix} ⎤ ⎥ ⎦

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Solution

The correct option is A $⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 25 & 29 & 33 \end{matrix} ⎤ ⎥ ⎦$
$A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦$
$\Rightarrow R_{3} \to 3 R_{3} + R_{2}$ for new matrix
$A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 3 (7) + 4 & 3 (8) + 5 & 3 (9) + 6 \end{matrix} ⎤ ⎥ ⎦$
New matrix $= ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 25 & 29 & 33 \end{matrix} ⎤ ⎥ ⎦$
Option A is correct

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Similar questions

[A] ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 7 & 8 & 9 4 & 5 & 6 \end{matrix} ⎤ ⎥ ⎦ = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦

⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦

2^{n d}

3^{r d}

⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦

4 t i m e s 1^{s t} r o w f r o m 2^{n d} r o w

Question 29

The time period after which the interest is added each time to form a new principal, is called the ___.

⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦

4 t i m e s 1^{s t} r o w f r o m 2^{n d} r o w

7 t i m e s 1^{s t} r o w f r o m 3^{r d} r o w

C

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