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Finite Math Examples
Step 1
Consider the corresponding sign chart.
Step 2
Step 2.1
Calculate the minor for element .
Step 2.1.1
The minor for is the determinant with row and column deleted.
Step 2.1.2
Evaluate the determinant.
Step 2.1.2.1
The determinant of a matrix is the element itself.
Step 2.1.2.2
Simplify the determinant.
Step 2.1.2.2.1
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
Step 2.1.2.2.2
The exact value of is .
Step 2.2
Calculate the minor for element .
Step 2.2.1
The minor for is the determinant with row and column deleted.
Step 2.2.2
Evaluate the determinant.
Step 2.2.2.1
The determinant of a matrix is the element itself.
Step 2.2.2.2
The exact value of is .
Step 2.3
Calculate the minor for element .
Step 2.3.1
The minor for is the determinant with row and column deleted.
Step 2.3.2
Evaluate the determinant.
Step 2.3.2.1
The determinant of a matrix is the element itself.
Step 2.3.2.2
The exact value of is .
Step 2.4
Calculate the minor for element .
Step 2.4.1
The minor for is the determinant with row and column deleted.
Step 2.4.2
Evaluate the determinant.
Step 2.4.2.1
The determinant of a matrix is the element itself.
Step 2.4.2.2
The exact value of is .
Step 2.5
The cofactor matrix is a matrix of the minors with the sign changed for the elements in the positions on the sign chart.
Step 3
Transpose the matrix by switching its rows to columns.