In Exercises 1-8, evaluate the determinant of the given matrix by (a) cofactor expansion and (b) using elementary row operations to introduce zeros into the matrix.
cises 5-8 ar
[[-4,2],[3,3]]
[[7,-1],[-2,-6]]
[[-1,5,2],[0,2,-1],[-3,1,1]]
[[-1,-2,-3],[-4,-5,-6],[-7,-8,-9]]
[[3,0,-1],[1,1,1],[0,4,2]]
[[-5,1,4],[3,0,2],[1,-2,2]]
|^(5)b|
[[3,6,0,1],[-2,3,1,4],[1,0,-1,1],[-9,2,-2,2]]
[[-1,-2,-3,-4],[4,3,2,1],[1,2,3,4],[-4,-3,-2,-11]]
Solve for x
12.Use the det cises 5-8ar
cofactor expansion and (b) using elementary row operations to intro- duce zeros into the matrix.
InExercises13-
-4 2] 3 3]
7
-1 -2 6]
1.
2
5
b 13. b-2
-1
5 2
2] -1 1
-1
-2
3] -4 5 6 -7 8 9]
3.
0
4.
[-3
10 0 15. 0 0 5
0
0
[3 5. 1 L0
0
-1
1
4] 2 2]
0
1
1
6.
3
0
2
4
1
2
0
3
6 3
0
11 4 1 2]
2 3 -41 4 3 2 1 1 2 3 4 4 -3 -2
2
1
16.Solve for x
7.
8.
1
0
-1
-9
2
-2
