Algebra Examples

$[\begin{array}{c} 9 & 8 & 8 \\ 7 & 8 & 6 \end{array}]$

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

$[\begin{array}{c} 9 & 8 & 8 \\ 7 & 8 & 6 \end{array}] \to [\begin{array}{c} 9 \end{array}]$

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

$[\begin{array}{c} 9 & 8 & 8 \\ 7 & 8 & 6 \end{array}] \to [\begin{array}{c} 9 \\ 8 \end{array}]$

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

$[\begin{array}{c} 9 & 8 & 8 \\ 7 & 8 & 6 \end{array}] \to [\begin{array}{c} 9 \\ 8 \\ 8 \end{array}]$

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

$[\begin{array}{c} 9 & 8 & 8 \\ 7 & 8 & 6 \end{array}] \to [\begin{array}{c} 9 & 7 \\ 8 \\ 8 \end{array}]$

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

$[\begin{array}{c} 9 & 8 & 8 \\ 7 & 8 & 6 \end{array}] \to [\begin{array}{c} 9 & 7 \\ 8 & 8 \\ 8 \end{array}]$

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

$[\begin{array}{c} 9 & 8 & 8 \\ 7 & 8 & 6 \end{array}] \to [\begin{array}{c} 9 & 7 \\ 8 & 8 \\ 8 & 6 \end{array}]$

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

$[\begin{array}{c} 9 & 7 \\ 8 & 8 \\ 8 & 6 \end{array}]$

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