## Introduction to Transpose Matrix Calculator:

Transpose matrix calculator is an online tool that helps you to **evaluate the transpose** of the given matrix. Our tool is used to find the transpose of a matrix that has 2 by 2 and 3 by 3 orders.

Although transpose is an easy method, so you can solve matrix (2 x 2), but when it comes to larger order of matrix transposition, the calculation becomes complex. In this situation, you need the matrix transpose calculator that can determine the transpose of larger matrices.

## What is a Transpose of a Matrix?

Transpose of a matrix is a process in linear algebra, used to form a new matrix by **converting** the row into a column and the column into a row. It is denoted as A^{T} for n × m order of matrix. The dimension of a matrix is changed from n × m to m × n after transposition.

You can use this method to solve the basic multiplication or addition after finding the transpose of a matrix. The formula used by the transpose matrix calculator is,

$$ A^T \;=\; [a_{ij}]^T \;=\; [a_{ji}] $$

## How to Find Transpose of a Matrix?

To **find the transpose** of a matrix, you need to get familiar with the basics of matrix. You can find the addition matrix transpose and multiplication operations. Let us know how the transpose of a matrix calculator finds the matrix in steps.

**Step 1**:

Identify the matrix A with dimensions m × n.

**Step 2**:

For the transpose of a matrix A, convert the row into a column and column into a row.

**Step 3**:

After converting a row into a column and a column into a row the dimension of matrix A m × n will be converted to dimensions n × m.

**Step 4**:

Now you get the matrix transposition, express the matrix A as A^{T} that shows the transposition.

Let's see the **example** of transpose matrix with a solution to understand the calculations in steps.

Suppose a 2 by 2 matrix to find the transpose,

$$ A \;=\; \left[ \begin{matrix} 1 & 2 \\ 3 & 4 \\ \end{matrix} \right] $$

**Solution**:

Here, a square matrix A is a 2 × 2 matrix, so A^{T} will be a 2 × 2 matrix.

For the transpose of matrix, the first column of A^{T} becomes the first row of A; the second column of A^{T} becomes the second row of A. Therefore,

$$ A \;=\; \left[ \begin{matrix} 1 & 2 \\ 3 & 4 \\ \end{matrix} \right] $$

## How to Use Transpose Matrix Calculator?

Matrix transpose calculator has an easy-to-use interface so you just need to enter matrices transpose question to get a solution. Follow our guidelines before using it.

- Select the matrix size (2 by 2 or maybe 3 by 3) from the given list to get the transpose matrix.
- Enter the elements of the given matrix transpose in the next input box.
- Review the given matrix value before hitting the calculate button of transpose of a matrix calculator.
- Click the “
**Calculate**” button to get the solution of your given matrix transpose problem. - If you are trying our transpose of matrix calculator for the first time then you must use the load example option.
- Click on the “Recalculate” button to get a new page for finding more example solutions of transpose matrix problems.

## Output of Matrix Transpose Calculator:

Transpose matrix calculator gives you **solution** of given matrix question when you add the input into it. It may be included as:

**Result Option**:

When you click on the result option, it gives you a solution of transpose matrix.

**Possible Steps**:

It provides you with the step by step solution of matrix transpose in detail.

## Advantages of Transpose of a Matrix Calculator:

The matrix transpose calculator provides benefits that you use to calculate the transposition of matrices problems. These advantages are:

- It is a free tool that enables you to find the matrix transpose problem.
- It is a
**manageable tool**that can solve different orders of matrices to find the transpose. - Our transpose of matrix calculator helps you to get a strong hold on the transpose method concept for matrix.
- It saves the time that you consume in calculation of transpose matrix.
- It is a reliable tool that calculate the transposition matrix and gives accurate solutions.
- Transpose matrix calculator gives the solution without sign-in condition so you can use it anywhere and anytime.