Matrix transpose in MATLAB - Interactive Code Practice

Practice - 5 Tasks

1fill in blank

easy

Complete the code to transpose matrix A.

MATLAB

B = A[1];

Drag options to blanks, or click blank then click option'

A^

B'

C*

D.

Attempts:

3 left

💡 Hint

Common Mistakes

Using dot (.) instead of transpose operator

Using multiplication (*) or power (^) operators

In MATLAB, the transpose of a matrix is obtained by adding a single quote (') after the matrix variable.

2fill in blank

medium

Complete the code to transpose matrix M and store it in T.

MATLAB

T = [1]';

Drag options to blanks, or click blank then click option'

Atranspose(M)

BM*

CM'

DM

Attempts:

3 left

💡 Hint

Common Mistakes

Adding transpose operator twice

Using incorrect function names

You need to write the matrix variable M before the transpose operator '.

3fill in blank

hard

Fix the error in the code to correctly transpose matrix X.

MATLAB

Y = [1];

Drag options to blanks, or click blank then click option'

AX*

BX.

CX'

DX^

Attempts:

3 left

💡 Hint

Common Mistakes

Using dot (.) or multiplication (*) instead of transpose

Using power (^) operator

The correct way to transpose a matrix in MATLAB is to use the single quote (') operator after the matrix variable.

4fill in blank

hard

Fill both blanks to create a matrix where each element is the transpose of the original matrix A.

MATLAB

B = [1]';
C = [2]';

Drag options to blanks, or click blank then click option'

AA

BB

CC

DD

Attempts:

3 left

💡 Hint

Common Mistakes

Using incorrect variable names

Forgetting the transpose operator

To transpose matrix A, use A' and to transpose matrix B, use B'.

5fill in blank

hard

Fill all three blanks to create a transposed matrix and multiply it by another matrix.

MATLAB

T = [1]';
R = [2] * [3];

Drag options to blanks, or click blank then click option'

AM

BT

CN

DP

Attempts:

3 left

💡 Hint

Common Mistakes

Multiplying matrices in wrong order

Forgetting to transpose the matrix

Transpose matrix M to get T, then multiply T by matrix N to get R.

Practice

1. What does the transpose operation do to a matrix in MATLAB?

easy

A. It swaps the rows and columns of the matrix.

B. It multiplies all elements by -1.

C. It adds a new row to the matrix.

D. It deletes the last column of the matrix.

Solution

1. Step 1: Understand matrix structure

   A matrix has rows and columns arranged in a grid.

2. Step 2: Define transpose operation

   Transposing swaps each row with the corresponding column, flipping the matrix over its diagonal.

3. Final Answer:

   It swaps the rows and columns of the matrix. -> Option A

4. Quick Check:

   Transpose = swap rows and columns [OK]

Hint: Transpose flips rows and columns in a matrix [OK]

Common Mistakes:

• Thinking transpose multiplies elements
• Confusing transpose with adding rows
• Assuming transpose deletes columns

2. Which of the following is the correct MATLAB syntax to transpose a matrix A?

easy

A. A.T

B. trans(A)

C. A'

D. A^T

Solution

1. Step 1: Recall MATLAB transpose operators

   In MATLAB, the apostrophe ' is used to transpose a matrix.

2. Step 2: Common incorrect syntax

   A.T is Python syntax; trans(A) and A^T are invalid in MATLAB.

3. Final Answer:

   A' -> Option C

4. Quick Check:

   Use apostrophe (') for transpose [OK]

Hint: Use apostrophe (') to transpose matrix in MATLAB [OK]

Common Mistakes:

• Using A^T which is invalid syntax
• Using A.T (Python syntax)
• Using trans(A) which is undefined

3. What is the output of the following MATLAB code?

A = [1 2; 3 4];
B = A';
disp(B);

medium

A. [1 3; 2 4]

B. [1 2; 3 4]

C. [1 3; 4 2]

D. [2 1; 4 3]

Solution

1. Step 1: Understand matrix A

   Matrix A is 2x2: first row [1 2], second row [3 4].

2. Step 2: Apply transpose operation

   Transposing swaps rows and columns: first column becomes first row, second column becomes second row. So B = [1 3; 2 4].

3. Final Answer:

   [1 3; 2 4] -> Option A

4. Quick Check:

   Transpose swaps rows and columns [OK]

Hint: Swap rows and columns to find transpose [OK]

Common Mistakes:

• Mixing rows and columns incorrectly
• Confusing transpose with element-wise operations
• Reading matrix elements in wrong order

4. Identify the error in this MATLAB code snippet:

A = [1 2 3; 4 5 6];
B = A';
C = B(1,3);

medium

A. No error; code runs correctly.

B. Indexing error: B(1,3) is out of bounds after transpose.

C. Matrix A is not defined properly.

D. Syntax error: transpose operator used incorrectly.

Solution

1. Step 1: Analyze matrix A size

   A is 2 rows by 3 columns.

2. Step 2: Transpose matrix A

   After transpose, B is 3 rows by 2 columns.

3. Step 3: Check indexing B(1,3)

   Since B has only 2 columns, B(1,3) is out of bounds and will cause an error.

4. Final Answer:

   Indexing error: B(1,3) is out of bounds after transpose. -> Option B

5. Quick Check:

   Check matrix size before indexing [OK]

Hint: Check matrix size after transpose before indexing [OK]

Common Mistakes:

• Assuming size stays same after transpose
• Ignoring column count when indexing
• Confusing row and column indices

5. Given a complex matrix C = [1+2i, 3-4i; 5+6i, 7-8i], which MATLAB expression returns the transpose without conjugation?

hard

A. C'

B. C.T

C. ctranspose(C)

D. C.'

Solution

1. Step 1: Understand transpose with complex numbers

   In MATLAB, C' transposes and conjugates complex matrices.

2. Step 2: Identify transpose without conjugation

   The operator .' transposes without conjugating complex elements.

3. Step 3: Check other options

   ctranspose(C) performs conjugate transpose; C.T is invalid syntax.

4. Final Answer:

   C.' -> Option D

5. Quick Check:

   Use dot-apostrophe (.' ) for transpose without conjugation [OK]

Hint: Use dot-apostrophe (.' ) to transpose without conjugation [OK]

Common Mistakes:

• Using apostrophe (') which conjugates
• Confusing transpose and conjugate
• Using ctranspose(C) which conjugates