Algebra Examples

$[\begin{array}{c} 2 & - 2 & 9 \\ 1 & 2 & 3 \end{array}]$

Step 1

Transpose the matrix by moving element $0, 0$ in the original matrix to element $0, 0$ in the transposed matrix.

$[\begin{array}{c} 2 & - 2 & 9 \\ 1 & 2 & 3 \end{array}] \to [\begin{array}{c} 2 \end{array}]$

Step 2

Transpose the matrix by moving element $0, 1$ in the original matrix to element $1, 0$ in the transposed matrix.

$[\begin{array}{c} 2 & - 2 & 9 \\ 1 & 2 & 3 \end{array}] \to [\begin{array}{c} 2 \\ - 2 \end{array}]$

Step 3

Transpose the matrix by moving element $0, 2$ in the original matrix to element $2, 0$ in the transposed matrix.

$[\begin{array}{c} 2 & - 2 & 9 \\ 1 & 2 & 3 \end{array}] \to [\begin{array}{c} 2 \\ - 2 \\ 9 \end{array}]$

Step 4

Transpose the matrix by moving element $1, 0$ in the original matrix to element $0, 1$ in the transposed matrix.

$[\begin{array}{c} 2 & - 2 & 9 \\ 1 & 2 & 3 \end{array}] \to [\begin{array}{c} 2 & 1 \\ - 2 \\ 9 \end{array}]$

Step 5

Transpose the matrix by moving element $1, 1$ in the original matrix to element $1, 1$ in the transposed matrix.

$[\begin{array}{c} 2 & - 2 & 9 \\ 1 & 2 & 3 \end{array}] \to [\begin{array}{c} 2 & 1 \\ - 2 & 2 \\ 9 \end{array}]$

Step 6

Transpose the matrix by moving element $1, 2$ in the original matrix to element $2, 1$ in the transposed matrix.

$[\begin{array}{c} 2 & - 2 & 9 \\ 1 & 2 & 3 \end{array}] \to [\begin{array}{c} 2 & 1 \\ - 2 & 2 \\ 9 & 3 \end{array}]$

Step 7

Transpose the matrix by turning all rows in original matrix to columns in the transposed matrix.

$[\begin{array}{c} 2 & 1 \\ - 2 & 2 \\ 9 & 3 \end{array}]$

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