Calculus 3 : Vectors and Vector Operations

Study concepts, example questions & explanations for Calculus 3

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Example Questions

Example Question #157 : Matrices

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 #158 : Matrices

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 #159 : Matrices

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 #160 : Matrices

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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