All Calculus 3 Resources
Example Questions
Example Question #1 : Matrices
Calculate the determinant of Matrix
.
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 #1 : Matrices
Calculate the determinant of Matrix
.
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 #1 : Matrices
Calculate the determinant of
.
All we need to do is multiply the main diagonal and substract it from the off diagonal.
Example Question #1 : Matrices
Which of the following is a way to represent the computation
using matrices?
All of the above answers
None of the other answers
This choice is the only pair with a well-defined operation; the others are meaningless in terms of matrix multiplication.
Computing this we get
.
Which is the same as
.
This operation is true for (real)
-dimensional vectors in general;
Example Question #2 : 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 #1 : 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 #7 : 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 #8 : 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 #1 : 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 #10 : 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: