# Calculus 3 : Vectors and Vector Operations

## Example Questions

### Example Question #741 : Vectors And Vector Operations

Find the determinant of the 3x3 matrix

Possible Answers:

Correct answer:

Explanation:

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

Using the matrix from the problem statement and applying, we get

### Example Question #741 : Vectors And Vector Operations

Find the determinant of the 3x3 matrix

Possible Answers:

Correct answer:

Explanation:

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

Using the matrix from the problem statement and applying, we get

### Example Question #742 : Vectors And Vector Operations

Find the determinant of the 2x2 matrix

Possible Answers:

Correct answer:

Explanation:

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

Applying to the matrix from the problem statement, we get

### Example Question #743 : Vectors And Vector Operations

Find the determinant of the 2x2 matrix

Possible Answers:

Correct answer:

Explanation:

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

Using the matrix from the problem statement, we get

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

Find the determinant of the 2x2 matrix

Possible Answers:

Correct answer:

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

Possible Answers:

Correct answer:

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

Possible Answers:

Correct answer:

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:

Possible Answers:

Correct answer:

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:

Possible Answers:

Correct answer:

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

Possible Answers:

Correct answer:

Explanation:

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

Using the matrix from the problem statement, we get