a
To Find: The determinant of A
a
Answer to Problem 76E
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
Calculation:
Consider,
Determinant of A
b.
To Find: inverse of
b.
Answer to Problem 76E
Explanation of Solution
Given information: Matrix is
Concept Used: Let V be an
Then
Calculation:
Begin by adjoining the identity matrix to
Use elementary row operations to obtain the form
Similarly,
Hence,
So,
c.
To Find: The determinant of
c.
Answer to Problem 76E
The determinant of
Explanation of Solution
Given information: Inverse of A:
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
Calculation:
Therefore, the determinant is obtained:
d.
To Find: Compare the determinant of
d.
Answer to Problem 76E
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
Chapter 7 Solutions
Precalculus with Limits: A Graphing Approach
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