# Calculus 3 : Matrices

## Example Questions

### Example Question #2667 : Calculus 3

Find the determinant of the matrix

Explanation:

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

For the matrix

The determinant is thus:

### Example Question #2668 : Calculus 3

Find the determinant of the matrix

Explanation:

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

For the matrix

The determinant is thus:

### Example Question #2669 : Calculus 3

Find the determinant of the matrix

Explanation:

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

For the matrix

The determinant is thus:

### Example Question #2670 : Calculus 3

Find the determinant of the matrix

Explanation:

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 #2671 : Calculus 3

Find the determinant of the matrix

Explanation:

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 #2672 : Calculus 3

Find the determinant of the matrix

Explanation:

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 #2673 : Calculus 3

Find the determinant of the matrix

Explanation:

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

For the matrix

The determinant is thus:

### Example Question #2674 : Calculus 3

Find the determinant of the matrix

Explanation:

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

For the matrix

The determinant is thus:

### Example Question #2675 : Calculus 3

Find the determinant of the matrix

Explanation:

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

For the matrix

The determinant is thus:

### Example Question #2676 : Calculus 3

Find the determinant of the matrix