Question

If A also is a 2x2 order matrix with
1st row [1 4] and 2nd row (3 2] then
transpose of A is with​

Answer 1

The required matrix is $\displaystyle \sf= \displaystyle\begin{pmatrix} 1 & 3\\ 4 & 2\end{pmatrix}$

Correct question : If A is a 2 × 2 order matrix with 1st row [1 4] and 2nd row [3 2] then transpose of A is

Given :

The matrix A is a 2 × 2 order matrix with 1st row [1 4] and 2nd row [3 2]

To find :

The transpose of A

Solution :

Step 1 of 2 :

Find the matrix A

Here the matrix A is a 2 × 2 order matrix with 1st row [1 4] and 2nd row [3 2]

So the matrix A is given by

$\displaystyle \sf{ }A = \displaystyle\begin{pmatrix} 1 & 4\\ 3 & 2\end{pmatrix}$

Step 2 of 2 :

Find transpose of A

We know that for any matrix A , transpose of A is obtained by interchanging its rows into columns or columns into rows.

Hence transpose of A

$\displaystyle \sf{ = A }^{t}$

$\displaystyle \sf= \displaystyle\begin{pmatrix} 1 & 3\\ 4 & 2\end{pmatrix}$

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