A= $⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦$
The new matrix formed after interchanging $2^{n d}$ and $3^{r d}$ rows will be

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

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

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Solution

The correct option is C $⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 7 & 8 & 9 4 & 5 & 6 \end{matrix} ⎤ ⎥ ⎦$
Given
$A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦$
Now second and third rows are interchanged $\Rightarrow$ all elements are interchanged
Resultant matrix $= ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 7 & 8 & 9 4 & 5 & 6 \end{matrix} ⎤ ⎥ ⎦$
Option D is correct

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Similar questions

Q. For the matrix A satisfying the equation given below, the eigen values are

[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} ⎤ ⎥ ⎦

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

If A is a square matrix $⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦$ then $A + A^{T}$ is a symmetric matrix.

Q. A=

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

B is matrix obtained by subtracting

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

of A. Find matrix B

If A = $⎡ ⎢ ⎣ \begin{matrix} 2 & 4 & 8 6 & 9 & 1 8 & 7 & 5 \end{matrix} ⎤ ⎥ ⎦$ and B = $⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦$ then the third element of the first row of A - B = -------

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A=⎡⎢⎣123456789⎤⎥⎦The new matrix formed after interchanging 2nd and 3rdrows will be

The correct option is C ⎡⎢⎣123789456⎤⎥⎦GivenA=⎡⎢⎣123456789⎤⎥⎦Now second and third rows are interchanged ⇒all elements are interchangedResultant matrix=⎡⎢⎣123789456⎤⎥⎦Option D is correct

A= $⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦$
The new matrix formed after interchanging $2^{n d}$ and $3^{r d}$ rows will be