Calculus 3 : Vectors and Vector Operations

Study concepts, example questions & explanations for Calculus 3

varsity tutors app store varsity tutors android store

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 #742 : 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 #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 use the definition:

Applying to the matrix from the problem statement, we get

Example Question #744 : 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

Learning Tools by Varsity Tutors