Linear Algebra : The Transpose

Example Questions

Example Question #1 : The Transpose

Find the transpose of Matrix .

Explanation:

To find the transpose, we need to make columns into rows.

Example Question #2 : The Transpose

Transpose matrix A where,

You cannot transpose a square matrix

Explanation:

Transposing a matrix simply means to make the columns of the original matrix the rows in the transposed matrix.  Example:  ie. column 1 become row 1, column 2 becomes row 2, etc.

Example Question #3 : The Transpose

Not possible with non-square matrices

Explanation:

Transposing a matrix simply means to make the columns of the original matrix the rows in the transposed matrix.  Example:  ie. column 1 become row 1, column 2 becomes row 2, etc.

Example Question #4 : The Transpose

Explanation:

Transposing a matrix simply means to make the columns of the original matrix the rows in the transposed matrix.  Example:  ie. column 1 become row 1, column 2 becomes row 2, etc.

Example Question #5 : The Transpose

Explanation:

Transposing a matrix simply means to make the columns of the original matrix the rows in the transposed matrix.  Example:  ie. column 1 become row 1, column 2 becomes row 2, etc.

Example Question #6 : The Transpose

Not Possible

Explanation:

Transposing a matrix simply means to make the columns of the original matrix the rows in the transposed matrix.  Example:  ie. column 1 become row 1, column 2 becomes row 2, etc.

Example Question #7 : The Transpose

Explanation:

Transposing a matrix simply means to make the columns of the original matrix the rows in the transposed matrix.  Example:  ie. column 1 become row 1, column 2 becomes row 2, etc.

Example Question #1 : The Transpose

Which is the transpose of ?

Explanation:

The transverse is the matrix where the columns are now the corresponding rows - the first column is now the first row, the second column is now the second row, etc.

Example Question #1 : The Transpose

Find the transpose of matrix A.

Explanation:

For a 3x2 matrix A, the transpose of A is a 2x3 matrix, where the columns are formed from the corresponding rows of A.

Example Question #1 : The Transpose

Find the transpose of matrix A.