# Calculus 3 : Matrices

## Example Questions

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### Example Question #745 : Vectors And Vector Operations

Find the determinant of the 2x2 matrix

Explanation:

To find the determinant of a 2x2 matrix , we apply the definition:

Using the matrix from the problem statement, we get

### Example Question #746 : Vectors And Vector Operations

Find the determinant of the 2x2 matrix

Explanation:

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

Applying to the matrix from the problem statement, we get

### Example Question #747 : Vectors And Vector Operations

Find the determinant of the 2x2 matrix

Explanation:

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

Applying to the matrix from the problem statement, we get

### Example Question #748 : Vectors And Vector Operations

Find the determinant of the 3x3 matrix given:

Explanation:

To find the determinant of a 3x3 matrix

Using the vectors from the problem statement, we get

### Example Question #749 : Vectors And Vector Operations

Find the determinant of the 3x3 matrix given:

Explanation:

To find the determinant of a 3x3 matrix

Using the vectors from the problem statement, we get

### Example Question #750 : Vectors And Vector Operations

Find the determinant of the 3x3 matrix

Explanation:

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

Using the matrix from the problem statement, we get

### Example Question #751 : Vectors And Vector Operations

Find the determinant of the 3x3 matrix

Explanation:

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

Using the matrix from the problem statement, we get

### Example Question #752 : Vectors And Vector Operations

Find the determinant of the matrix

Explanation:

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

Using the matrix from the problem statement, we get

### Example Question #753 : Vectors And Vector Operations

Calculate the determinant of Matrix .

Explanation:

In order to find the determinant of , we first need to copy down the first two columns into columns 4 and 5.

The next step is to multiply the down diagonals.

The next step is to multiply the up diagonals.

The last step is to substract  from .

### Example Question #754 : Vectors And Vector Operations

Calculate the determinant of Matrix .