### All Calculus 3 Resources

## Example Questions

### Example Question #21 : Matrices

Find the determinant of the matrix

**Possible Answers:**

**Correct answer:**

The determinant of a 3x3 matrix can be found via a means of reduction into three 2x2 matrices as follows:

These can then be further reduced via the method of finding the determinant of a 2x2 matrix:

For the matrix

The determinant is thus:

### Example Question #22 : Matrices

Find the determinant of the matrix

**Possible Answers:**

**Correct answer:**

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

For the matrix

The determinant is thus:

### Example Question #23 : Matrices

Find the determinant of the matrix

**Possible Answers:**

**Correct answer:**

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

For the matrix

The determinant is thus:

### Example Question #24 : Matrices

Find the determinant of the matrix

**Possible Answers:**

**Correct answer:**

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

For the matrix

The determinant is thus:

### Example Question #25 : Matrices

Find the determinant of the matrix

**Possible Answers:**

**Correct answer:**

The determinant of a 3x3 matrix can be found via a means of reduction into three 2x2 matrices as follows:

These can then be further reduced via the method of finding the determinant of a 2x2 matrix:

For the matrix

The determinant is thus:

### Example Question #26 : Matrices

Find the determinant of the matrix

**Possible Answers:**

**Correct answer:**

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

For the matrix

The determinant is thus:

### Example Question #621 : Vectors And Vector Operations

Find the determinant of the matrix

**Possible Answers:**

**Correct answer:**

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

For the matrix

The determinant is thus:

### Example Question #622 : Vectors And Vector Operations

Find the determinant of the matrix

**Possible Answers:**

**Correct answer:**

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

For the matrix

The determinant is thus:

### Example Question #623 : Vectors And Vector Operations

Find the determinant of the matrix

**Possible Answers:**

**Correct answer:**

The determinant of a 3x3 matrix can be found via a means of reduction into three 2x2 matrices as follows:

These can then be further reduced via the method of finding the determinant of a 2x2 matrix:

For the matrix

The determinant is thus:

### Example Question #624 : Vectors And Vector Operations

Find the determinant of the matrix

**Possible Answers:**

**Correct answer:**

These can then be further reduced via the method of finding the determinant of a 2x2 matrix:

For the matrix

The determinant is thus:

Certified Tutor

Certified Tutor