Determinant Inverse

The matrix A is said to be determinant, if the ad - bc != 0 Then we called these value as  the determinant value of  A. In order to take a broad view of such notion to privileged information, we are going to study about the determinant value and see what kind of the properties it satisfies for the function. Here we are going to see about the inverse determinant and problems in it.


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For finding the determinant inverse following steps to be followed.

A = [[a,b],[c,d]]

A^-1 = 1/(ad - bc) [[d,b],[c,a]]

Determinant:

In the determinant of the function which could be used in the function for the given matrix. There are many types in the determinant of the matrix. They are as follows,

Row determinant Matrix
Column determinant Matrix
Square determinant Matrix
Diagonal determinant Matrix
Scalar determinant matrix
Inverse determinent matrix
Zero determinant matrix



Here we are going to see about the inverse determinant matrix example problems.



Determinant inverse - Example problems:

Determinant inverse - problem 1:

Find the inverse determinant matrix for the given matrix A = [[1,3],[-1,2]]

Solution: calculate the inverse determinant value for the matrix.

A = [[1,3],[-1,2]]

Use the method above shown for solving the determinant value.

A^-1 =(1/ |A|) [[2,3],[-1,1]]

A^-1 = (1/(2+3)) (2+3)

A^-1 = (1/5)5

A^-1 = 1

The above shown is the inverse determinant value foe the given determinant value

Determinant inverse - problem 2:

Find the inverse determinant matrix for the given matrix A = [[2,4],[-3,5]]

Solution: calculate the inverse determinant value for the matrix.

A = [[2,4],[-3,5]]

Use the method above shown for solving the determinant value.

A^-1 = (1/(|10+12|))[[5,4],[-3,2]]

A^-1 =(1/(22))(10+12)

A^-1 = (1/22)22

A^-1 = 1

The above shown is the inverse determinant value foe the given determinant value

Determinant inverse - problem 3:

Find the inverse determinant matrix for the given matrix A = [[3,6],[-4,6]]

Solution: calculate the inverse determinant value for the matrix.

A = [[3,5],[-4,6]]

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Use the method above shown for solving the determinant value.

A^-1 =(1/ (18+20))[[6,6],[-4,3]]

A^-1 = 1/(38) (18+20)

A^-1 =(1/(38))(38)

A^-1 =1

The above shown is the inverse determinant value foe the given determinant value.