All Calculus 3 Resources
Example Questions
Example Question #691 : Vectors And Vector Operations
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 #692 : Vectors And Vector Operations
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 #693 : Vectors And Vector Operations
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 #694 : Vectors And Vector Operations
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 #101 : Matrices
Find the matrix product of , where
and
In order to multiply two matrices, , the respective dimensions of each must be of the form
and
to create an
(notation is rows x columns) matrix. Unlike the multiplication of individual values, the order of the matrices does matter.
For a multiplication of the form
The resulting matrix is
The notation may be daunting but numerical examples may elucidate.
We're told that
and
The resulting matrix product is then:
Example Question #691 : Vectors And Vector Operations
Find the matrix product of , where
and
In order to multiply two matrices, , the respective dimensions of each must be of the form
and
to create an
(notation is rows x columns) matrix. Unlike the multiplication of individual values, the order of the matrices does matter.
For a multiplication of the form
The resulting matrix is
The notation may be daunting but numerical examples may elucidate.
We're told that
and
The resulting matrix product is then:
Example Question #103 : Matrices
Find the matrix product of , where
and
In order to multiply two matrices, , the respective dimensions of each must be of the form
and
to create an
(notation is rows x columns) matrix. Unlike the multiplication of individual values, the order of the matrices does matter.
For a multiplication of the form
The resulting matrix is
The notation may be daunting but numerical examples may elucidate.
We're told that
and
The resulting matrix product is then:
Example Question #104 : Matrices
Find the matrix product of , where
and
In order to multiply two matrices, , the respective dimensions of each must be of the form
and
to create an
(notation is rows x columns) matrix. Unlike the multiplication of individual values, the order of the matrices does matter.
For a multiplication of the form
The resulting matrix is
The notation may be daunting but numerical examples may elucidate.
We're told that
and
The resulting matrix product is then:
Example Question #105 : Matrices
Find the matrix product of , where
and
In order to multiply two matrices, , the respective dimensions of each must be of the form
and
to create an
(notation is rows x columns) matrix. Unlike the multiplication of individual values, the order of the matrices does matter.
For a multiplication of the form
The resulting matrix is
The notation may be daunting but numerical examples may elucidate.
We're told that
and
The resulting matrix product is then:
Example Question #106 : Matrices
Find the matrix product of , where
and
In order to multiply two matrices, , the respective dimensions of each must be of the form
and
to create an
(notation is rows x columns) matrix. Unlike the multiplication of individual values, the order of the matrices does matter.
For a multiplication of the form
The resulting matrix is
The notation may be daunting but numerical examples may elucidate.
We're told that
and
The resulting matrix product is then:
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