a.
To Find: The determinant of A
a.
Answer to Problem 74E
Determinant of
Explanation of Solution
Given information: Matrix
Concept Used: If A is a square matrix, the determinant of A is the sum of the entries in any row of A multiplied by their respective cofactors. For
The determinant yield
Calculation:
The determinant is obtained as:
Determinant of
b
To Find: inverse of
b
Answer to Problem 74E
Explanation of Solution
Given information: Matrix
Concept Used: Let V be an
Then
Calculation:
Begin by adjoining the identity matrix to A to form the matrix
Use elementary row operations to obtain the form
c
To Find: The determinant of
c
Answer to Problem 74E
The determinant of
Explanation of Solution
Given information: Inverse of
Concept Used: If A is a square matrix, the determinant of A is the sum of the entries in any row of A multiplied by their respective cofactors. For
The determinant yield:
Calculation:
The determinant is obtained as:
d
To Find: Compare the determinant of
d
Answer to Problem 74E
Determinant of A and determinant of
Explanation of Solution
Given information:
The determinant of
The determinant of
Calculation:
The determinant of
The determinant of
Determinant of A and determinant of
Chapter 7 Solutions
Precalculus with Limits: A Graphing Approach
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