Calculus 3 : Matrices

Study concepts, example questions & explanations for Calculus 3

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Example Questions

Example Question #131 : Matrices

Find the determinant of the 3x3 matrix 

Possible Answers:

Correct answer:

Explanation:

To find the determinant of any 3x3 matrix , we use the formula . Using the vector from the problem statement, we get 

Example Question #132 : Matrices

Perform the matrix operation 

Possible Answers:

Correct answer:

Explanation:

To find the difference between two 2x2 matrices  and  you use the formula . Using the two matrices from the problem statement, we then get 

Example Question #133 : Matrices

Perform the matrix operation 

Possible Answers:

Correct answer:

Explanation:

To find the difference between two 2x2 matrices  and  you use the formula . Using the two matrices from the problem statement, we then get 

Example Question #134 : Matrices

Find the determinant of the 2x2 matrix 

Possible Answers:

Correct answer:

Explanation:

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

Using hte matrix from the problem statement, we get

 

 

Example Question #135 : Matrices

Find the determinant of the 3x3 matrix 

Possible Answers:

Correct answer:

Explanation:

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

. Using the matrix from the problem statement, we get:

Example Question #136 : Matrices

Find the determinant of the 3x3 matrix 

Possible Answers:

Correct answer:

Explanation:

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

. Using the matrix from the problem statement, we get:

Example Question #137 : Matrices

Perform the matrix operation 

Possible Answers:

Correct answer:

Explanation:

To do matrix summation, you apply the following formula, where a and b are 4x4 matrices: 

Using this formula, we get 

Example Question #138 : Matrices

Find the determinant of the 3x3 matrix given: 

Possible Answers:

Correct answer:

Explanation:

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

Applying to the matrix from the problem statement, we get

Example Question #139 : Matrices

Find the determinant of the 3x3 matrix given: 

Possible Answers:

Correct answer:

Explanation:

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

Applying to the matrix from the problem statement, we get

Example Question #140 : Matrices

Find the determinant of the 2x2 matrix given: 

Possible Answers:

Correct answer:

Explanation:

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

Using the vector from the problem statement, we get:

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