### All Linear Algebra Resources

## Example Questions

### Example Question #1 : The Trace

Calculate the trace of the following Matrix.

**Possible Answers:**

**Correct answer:**

The trace of a matrix is simply adding the entries along the main diagonal.

### Example Question #2 : The Trace

Calculate the trace.

**Possible Answers:**

**Correct answer:**

The trace of a matrix is simply adding the entries along the main diagonal.

### Example Question #3 : The Trace

Find the trace of the following matrix.

**Possible Answers:**

Not possible to calculate

**Correct answer:**

Not possible to calculate

Since the trace can only be calculated for matrices, the trace isn't possible to calculate.

### Example Question #4 : The Trace

Calculate the trace of the following matrix.

**Possible Answers:**

**Correct answer:**

In order to calculate the trace, we need to sum up each entry along the main diagonal.

### Example Question #5 : The Trace

Calculate the trace of matrix , given

.

**Possible Answers:**

**Correct answer:**

By definition,

.

Therefore,

.

### Example Question #6 : The Trace

Calculate the trace of , or , given

.

**Possible Answers:**

The trace does not exist.

**Correct answer:**

The trace does not exist.

By definition, the trace of a matrix only exists in the matrix is a square matrix. In this case, is not square. Therefore, the trace does not exist.

### Example Question #7 : The Trace

**Possible Answers:**

**Correct answer:**

### Example Question #8 : The Trace

**Possible Answers:**

**Correct answer:**

### Example Question #9 : The Trace

**Possible Answers:**

**Correct answer:**

### Example Question #10 : The Trace

**Possible Answers:**

**Correct answer:**

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