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Matrix Transpose Calculator

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Calculates the transpose of a matrix by swapping its rows and columns.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Number of Rows, Number of Columns, Element (1,1), Element (1,2), Element (2,1), and Element (2,2) in the units shown.

Step 2

Read Element (2,2) of Transpose, Element (2,1) of Transpose, Element (1,2) of Transpose, and Element (1,1) of Transpose in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

2x2 Identity Matrix

Number of Rows: 2; Number of Columns: 2; Element (1,1): 1; Element (1,2): 0; Element (2,1): 0; Element (2,2): 1

Element (2,2) of Transpose: 1; Element (2,1) of Transpose: 0; Element (1,2) of Transpose: 0; Element (1,1) of Transpose: 1

2x1 Matrix Example

Number of Rows: 2; Number of Columns: 1; Element (1,1): 5; Element (1,2): 6; Element (2,1): 0; Element (2,2): 0

Element (2,2) of Transpose: 0; Element (2,1) of Transpose: 6; Element (1,2) of Transpose: 0; Element (1,1) of Transpose: 5

1x2 Matrix Example

Number of Rows: 1; Number of Columns: 2; Element (1,1): 7; Element (1,2): 8; Element (2,1): 0; Element (2,2): 0

Element (2,2) of Transpose: 0; Element (2,1) of Transpose: 0; Element (1,2) of Transpose: 0; Element (1,1) of Transpose: 7

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