### All Linear Algebra Resources

## Example Questions

### Example Question #101 : Operations And Properties

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 #102 : Operations And Properties

Calculate the trace.

**Possible Answers:**

**Correct answer:**

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

### Example Question #103 : Operations And Properties

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 #104 : Operations And Properties

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 #105 : Operations And Properties

Calculate the trace of matrix , given

.

**Possible Answers:**

**Correct answer:**

By definition,

.

Therefore,

.

### Example Question #106 : Operations And Properties

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 #107 : Operations And Properties

**Possible Answers:**

**Correct answer:**

### Example Question #108 : Operations And Properties

**Possible Answers:**

**Correct answer:**

### Example Question #109 : Operations And Properties

**Possible Answers:**

**Correct answer:**

### Example Question #1 : The Trace

**Possible Answers:**

**Correct answer:**

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