Calculus 3 : Matrices
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Example Questions
Example Question #601 : Vectors And Vector Operations
Find the determinant of the matrix
The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:
For the matrix
The determinant is thus:
Example Question #602 : Vectors And Vector Operations
Find the determinant of the matrix
The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:
For the matrix
The determinant is thus:
Example Question #603 : Vectors And Vector Operations
Find the determinant of the matrix
The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:
For the matrix
The determinant is thus:
Example Question #604 : Vectors And Vector Operations
Find the determinant of the matrix
The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:
For the matrix
The determinant is thus:
Note that the zero-value determinant means that the two columns are not lineraly independent; one can be found by multiplying the other by some value: in this case, the second column is one half of the first.
Example Question #605 : Vectors And Vector Operations
Find the determinant of the matrix
The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:
For the matrix
The determinant is thus:
Example Question #16 : Matrices
Find the determinant of the matrix
The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:
For the matrix
The determinant is thus:
Example Question #11 : Matrices
Find the determinant of the matrix
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 #12 : Matrices
Find the determinant of the matrix
The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:
For the matrix
The determinant is thus:
Example Question #13 : Matrices
Find the determinant of the matrix
The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:
For the matrix
The determinant is thus:
Example Question #14 : Matrices
Find the determinant of the matrix
The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:
For the matrix
The determinant is thus:
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