Linear Algebra : The Transpose

Study concepts, example questions & explanations for Linear Algebra

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Example Questions

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Example Question #1 : The Transpose

Find the transpose of Matrix .

 

Possible Answers:

Correct answer:

Explanation:

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

Example Question #2 : The Transpose

Transpose matrix A where,

 

Possible Answers:

You cannot transpose a square matrix

Correct answer:

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

Possible Answers:

Not possible with non-square matrices

Correct answer:

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

Possible Answers:

Correct answer:

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

Possible Answers:

Correct answer:

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

Possible Answers:

Not Possible 

Correct answer:

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

Possible Answers:

Correct answer:

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 #8 : The Transpose

Which is the transpose of ?

Possible Answers:

Correct answer:

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 #9 : The Transpose

Find the transpose of matrix A. 

Possible Answers:

None of the other answers

Correct answer:

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 #10 : The Transpose

Find the transpose of matrix A.

Possible Answers:

None of the other answers

Correct answer:

Explanation:

For a 2x4 matrix A, the transpose of A is a 4x2 matrix, where the columns are formed from the corresponding rows of A. 

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