In Exercises 1–8, evaluate the determinant of the given matrix by (a) cofactor expansion and (b) using elementary row operations to intro-duce zeros into the matrix.
(a)
The determinant of the matrix
Answer to Problem 1SE
The determinant of the matrix
Explanation of Solution
Definition used:
Determinant:
“The determinant of a matrix
Calculation:
The given matrix is
Use cofactor expansion and obtain the value of the determinant as shown below.
Thus, the determinant of the matrix
(b)
The determinant of the matrix
Answer to Problem 1SE
The determinant of the matrix
Explanation of Solution
The given matrix is
Obtain the value of the determinant as shown below.
On further simplifications,
Thus, the determinant of the matrix
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