Find all solutions to the given linear system. 1. 2y+z=0
2y−8z=8
−4x+5y+9z=−9
​
2. x+2y−z+w=6
−x+y+2z−w=3
2x−y+2z+2w=14
x+y−z+2w=8
​
x+2y+z+w=8 x+2y+2z−w=12 2x+4y+16w=4 x+y+2z+3w=13 x−2y+z+w=8 3x+y+z−w=1 5. x+2y+3z=0 x+y+z=0
5x+7y+9z=0
​
Let matrix A=[ 1
2
​
−2
1
​
3
4
​
],B= ⎣
⎡
​
1
−2
3
​
0
1
−2
​
⎦
⎤
​
,C= ⎣
⎡
​
−3
4
2
​
−1
1
1
​
3
5
3
​
⎦
⎤
​
, and D= ⎣
⎡
​
2
0
3
​
−4
1
2
​
5
4
1
​
⎦
⎤
​
If possible, compute the following 6. 3C−2D 7. AC 8. BA 9. BD 10. C T
Find inverses for the following matrices, if possible. 11. ⎣
⎡
​
1
1
0
​
2
1
1
​
3
2
2
​
⎦
⎤
​
12. [ −5
4
​
−3
3
​
]