Calculus 3 : Matrices

Study concepts, example questions & explanations for Calculus 3

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Example Questions

Example Question #2677 : Calculus 3

Find the determinant of the matrix 

Possible Answers:

Correct answer:

Explanation:

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

For the matrix 

The determinant is thus:

Example Question #2678 : Calculus 3

Find the determinant of the matrix 

Possible Answers:

Correct answer:

Explanation:

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

For the matrix 

The determinant is thus:

Example Question #2679 : Calculus 3

Find the determinant of the matrix 

Possible Answers:

Correct answer:

Explanation:

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

For the matrix 

The determinant is thus:

Example Question #2680 : Calculus 3

Find the determinant of the matrix 

Possible Answers:

Correct answer:

Explanation:

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

For the matrix 

The determinant is thus:

Example Question #671 : Vectors And Vector Operations

Find the determinant of the matrix 

Possible Answers:

Correct answer:

Explanation:

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

For the matrix 

The determinant is thus:

Example Question #672 : Vectors And Vector Operations

Find the determinant of the matrix 

Possible Answers:

Correct answer:

Explanation:

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

For the matrix 

The determinant is thus:

Example Question #81 : Matrices

Find the determinant of the matrix 

Possible Answers:

Correct answer:

Explanation:

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

For the matrix 

The determinant is thus:

Example Question #82 : Matrices

Find the determinant of the matrix 

Possible Answers:

Correct answer:

Explanation:

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

For the matrix 

The determinant is thus:

Example Question #83 : Matrices

Find the determinant of the matrix 

Possible Answers:

Correct answer:

Explanation:

The determinant of a 3x3 matrix can be found via a means of reduction into three 2x2 matrices as follows:

These can then be further reduced via the method of finding the determinant of a 2x2 matrix:

For the matrix 

The determinant is thus:

Example Question #84 : Matrices

Find the determinant of the matrix 

Possible Answers:

Correct answer:

Explanation:

The determinant of a 3x3 matrix can be found via a means of reduction into three 2x2 matrices as follows:

These can then be further reduced via the method of finding the determinant of a 2x2 matrix:

For the matrix 

The determinant is thus:

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