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Transpose Matrix Calculator
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The transpose of a matrix is another matrix where the rows are changed with columns and vice versa. If the given Matrix is
A = $\begin{bmatrix}A_{11} &A_{12} &A_{13} \\ A_{21} &A_{22} &A_{23} \\ A_{31} &A_{32} &A_{33} \end{bmatrix}$
The transpose of the matrix is
AT= $\begin{bmatrix}A_{11} &A_{21} &A_{31} \\ A_{12} &A_{22} &A_{32} \\ A_{13} &A_{23} &A_{33} \end{bmatrix}$
Transpose Matrix Calculator is easy online tool that gives transpose of any given matrix of order 3 $\times$ 3. You just have to enter the values of the matrix in space provided and get its transpose instantly.

## Steps for Transpose Matrix Calculator

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Step 1 :

Read the problem and note down the matrix given

Step 2 :

Interchange the rows with columns and columns with rows and take down that matrix as answer.

## Problems on Transpose Matrix Calculator

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1. ### Find the transpose of the matrixA = $\begin{bmatrix}3 &-2 &0 \\ 1 &4 &-1 \\ 0 &0 &1 \end{bmatrix}$

Step 1 :

Given matrix is

A = $\begin{bmatrix} 3 &-2 &0 \\ 1 &4 &-1 \\ 0 &0 &1 \end{bmatrix}$

Step 2 :

Interchange the 1st row with 1st column to get 3 1 0

2nd row with 2nd column to get -2 4 0

and third row with third column to get 0 -1 1

Answer  :

Hence the transpose of the matrix is

AT = $\begin{bmatrix} 3 & 1 &0 \\ -2 &4 &0 \\ 0 &-1 &1 \end{bmatrix}$

2. ### Find the transpose of the matrixA = $\begin{bmatrix}1 &0 &0 \\ 0 &1 &0 \\ 0 &0 &1 \end{bmatrix}$

Step 1 :

Given matrix is

A = $\begin{bmatrix} 1 &0 &0 \\ 0 &1 &0 \\ 0 &0 &1 \end{bmatrix}$

Step 2 :

Interchange the 1st row with 1st column to get 1 0 0

2nd row with 2nd column to get 0 1 0

and third row with third column to get 0 0 1

Answer  :

The transpose of matrix is

AT = $\begin{bmatrix} 1 &0 &0 \\ 0 &1 &0 \\ 0 &0 &1 \end{bmatrix}$

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