Calculus 3 : Matrices

Study concepts, example questions & explanations for Calculus 3

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Example Questions

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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

Example Question #2751 : Calculus 3

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

Example Question #2752 : Calculus 3

Find the determinant of the 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, we get

Example Question #2753 : Calculus 3

Calculate the determinant of Matrix .

Possible Answers:

Correct answer:

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 #2754 : Calculus 3

Calculate the determinant of Matrix .

Possible Answers:

Correct answer:

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 .

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