# Calculus 3 : Matrices

## Example Questions

### Example Question #131 : Matrices

Find the determinant of the 3x3 matrix

Explanation:

To find the determinant of any 3x3 matrix , we use the formula . Using the vector from the problem statement, we get

### Example Question #132 : Matrices

Perform the matrix operation

Explanation:

To find the difference between two 2x2 matrices  and  you use the formula . Using the two matrices from the problem statement, we then get

### Example Question #133 : Matrices

Perform the matrix operation

Explanation:

To find the difference between two 2x2 matrices  and  you use the formula . Using the two matrices from the problem statement, we then get

### Example Question #134 : Matrices

Find the determinant of the 2x2 matrix

Explanation:

To find the determinant of a 2x2 matrix  ,we use the formula

Using hte matrix from the problem statement, we get

### Example Question #135 : Matrices

Find the determinant of the 3x3 matrix

Explanation:

To find the determinant of the 3x3 matrix , we use the formula:

. Using the matrix from the problem statement, we get:

### Example Question #136 : Matrices

Find the determinant of the 3x3 matrix

Explanation:

To find the determinant of the 3x3 matrix , we use the formula:

. Using the matrix from the problem statement, we get:

### Example Question #137 : Matrices

Perform the matrix operation

Explanation:

To do matrix summation, you apply the following formula, where a and b are 4x4 matrices:

Using this formula, we get

### Example Question #138 : Matrices

Find the determinant of the 3x3 matrix given:

Explanation:

To find the the determinant of a 3x3 matrix , you apply the following formula

Applying to the matrix from the problem statement, we get

### Example Question #139 : Matrices

Find the determinant of the 3x3 matrix given:

Explanation:

To find the the determinant of a 3x3 matrix , you apply the following formula

Applying to the matrix from the problem statement, we get

### Example Question #140 : Matrices

Find the determinant of the 2x2 matrix given: