Transpose of a Matrix

Welcome to the matrix transpose calculator, where you'll have the opportunity to learn all about transposing matrices.

Select an operation:

For Example Addition : Input

$A + B = [\begin{array}{ccc} 2 & 7 & 0 \\ 9 & 12 & 1 \\ 3 & 7 & 15 \end{array}] + [\begin{array}{ccc} 2 & 1 & 4 \\ 5 & 7 & 1 \\ 1 & 2 & 5 \end{array}]$

Solution

$[\begin{array}{ccc} 2 & 7 & 0 \\ 9 & 12 & 1 \\ 3 & 7 & 15 \end{array}] + [\begin{array}{ccc} 2 & 1 & 4 \\ 5 & 7 & 1 \\ 1 & 2 & 5 \end{array}] = [\begin{array}{ccc} (2) + (2) & (7) + (1) & (0) + (4) \\ (9) + (5) & (12) + (7) & (1) + (1) \\ (3) + (1) & (7) + (2) & (15) + (5) \end{array}]$ $= [\begin{array}{ccc} 4 & 8 & 4 \\ 14 & 19 & 2 \\ 4 & 9 & 20 \end{array}]$ For Example answer : $A + B = [\begin{array}{ccc} 4 & 8 & 4 \\ 14 & 19 & 2 \\ 4 & 9 & 20 \end{array}]$

For Example Subtraction : Input

$A - B = [\begin{array}{ccc} 2 & 7 & 0 \\ 9 & 12 & 1 \\ 3 & 7 & 15 \end{array}] - [\begin{array}{ccc} 2 & 1 & 4 \\ 5 & 7 & 1 \\ 1 & 2 & 5 \end{array}]$

Solution

$[\begin{array}{ccc} 2 & 7 & 0 \\ 9 & 12 & 1 \\ 3 & 7 & 15 \end{array}] - [\begin{array}{ccc} 2 & 1 & 4 \\ 5 & 7 & 1 \\ 1 & 2 & 5 \end{array}] = [\begin{array}{ccc} (2) - (2) & (7) - (1) & (0) - (4) \\ (9) - (5) & (12) - (7) & (1) - (1) \\ (3) - (1) & (7) - (2) & (15) - (5) \end{array}]$ $= [\begin{array}{ccc} 0 & 6 & - 4 \\ 4 & 5 & 0 \\ 2 & 5 & 10 \end{array}]$ For Example answer : $A - B = [\begin{array}{ccc} 0 & 6 & - 4 \\ 4 & 5 & 0 \\ 2 & 5 & 10 \end{array}]$

For Example Multiplication : Input

$A \cdot B = [\begin{array}{ccc} 2 & 7 & 0 \\ 9 & 12 & 1 \\ 3 & 7 & 15 \end{array}] \cdot [\begin{array}{ccc} 2 & 1 & 4 \\ 5 & 7 & 1 \\ 1 & 2 & 5 \end{array}]$

Solution

$[\begin{array}{ccc} 2 & 7 & 0 \\ 9 & 12 & 1 \\ 3 & 7 & 15 \end{array}] \cdot [\begin{array}{ccc} 2 & 1 & 4 \\ 5 & 7 & 1 \\ 1 & 2 & 5 \end{array}] =$ $= [\begin{array}{ccc} (2) \cdot (2) + (7) \cdot (5) + (0) \cdot (1) & (2) \cdot (1) + (7) \cdot (7) + (0) \cdot (2) & (2) \cdot (4) + (7) \cdot (1) + (0) \cdot (5) \\ (9) \cdot (2) + (12) \cdot (5) + (1) \cdot (1) & (9) \cdot (1) + (12) \cdot (7) + (1) \cdot (2) & (9) \cdot (4) + (12) \cdot (1) + (1) \cdot (5) \\ (3) \cdot (2) + (7) \cdot (5) + (15) \cdot (1) & (3) \cdot (1) + (7) \cdot (7) + (15) \cdot (2) & (3) \cdot (4) + (7) \cdot (1) + (15) \cdot (5) \end{array}]$ $= [\begin{array}{ccc} 39 & 51 & 15 \\ 79 & 95 & 53 \\ 56 & 82 & 94 \end{array}]$ For Example Answer : $A \cdot B = [\begin{array}{ccc} 39 & 51 & 15 \\ 79 & 95 & 53 \\ 56 & 82 & 94 \end{array}]$

For Example Scalar Multiply : Input

$2 \cdot A = 2 [\begin{array}{ccc} 2 & 7 & 0 \\ 9 & 12 & 1 \\ 3 & 7 & 15 \end{array}]$

Solution

$[\begin{array}{ccc} 2 \cdot (2) & 2 \cdot (7) & 2 \cdot (0) \\ 2 \cdot (9) & 2 \cdot (12) & 2 \cdot (1) \\ 2 \cdot (3) & 2 \cdot (7) & 2 \cdot (15) \end{array}] = [\begin{array}{ccc} 4 & 14 & 0 \\ 18 & 24 & 2 \\ 6 & 14 & 30 \end{array}]$ For Example Answer : $= [\begin{array}{ccc} 4 & 14 & 0 \\ 18 & 24 & 2 \\ 6 & 14 & 30 \end{array}]$

Matrix scalarDivide operations: Input

$2 \cdot A = 2 [\begin{array}{ccc} 2 & 7 & 0 \\ 9 & 12 & 1 \\ 3 & 7 & 15 \end{array}]$

Solution

About This Bot

Welcome to the matrix transpose calculator, where you'll have the opportunity to learn all about transposing matrices.

Transpose of a Matrix

Matrix Addition operations

For Example Addition : Input

Solution

Matrix Subtraction operations

For Example Subtraction : Input

Solution

Matrix Multiply operations

For Example Multiplication : Input

Solution

Matrix scalarMultiply operations

For Example Scalar Multiply : Input

Solution

Matrix scalarDivide operations

Matrix scalarDivide operations: Input

Solution

About This Bot

About This Bot

FAQ on Transpose Of A Matrix

FAQ on Transpose Of A Matrix

Q. A

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Transpose of a Matrix

Matrix Addition operations

For Example Addition : Input

Solution

Matrix Subtraction operations

For Example Subtraction : Input

Solution

Matrix Multiply operations

For Example Multiplication : Input

Solution

Matrix scalarMultiply operations

For Example Scalar Multiply : Input

Solution

Matrix scalarDivide operations

Matrix scalarDivide operations: Input

Solution

About This Bot

About This Bot

FAQ on Transpose Of A Matrix

FAQ on Transpose Of A Matrix

Q. A

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