- #1
HelpMeh
- 13
- 0
Hi
If i have 3 4x1 matrices and i want to check if i can express a 4th matrix as the linear combination of the first 3.
my 3 vectors:
1 7 -2
4 10 1
2 -4 5
-3 -1 -4
can this vector be expressed a linear combination of the first 3:
54
0
-108
78
my attempt:
i made a big matrix out of them:
1 7 -2 c1 54
4 10 1 c2 0
2 -4 5 c3 -108
-3 -1 -4 c4 78
i do gaussian elimination:
1 0 1.5 -30
0 1 -.5 12
or
c1 + 1.5c2 = -30
c2 - .5c3
not sure what to do now.
If i have 3 4x1 matrices and i want to check if i can express a 4th matrix as the linear combination of the first 3.
my 3 vectors:
1 7 -2
4 10 1
2 -4 5
-3 -1 -4
can this vector be expressed a linear combination of the first 3:
54
0
-108
78
my attempt:
i made a big matrix out of them:
1 7 -2 c1 54
4 10 1 c2 0
2 -4 5 c3 -108
-3 -1 -4 c4 78
i do gaussian elimination:
1 0 1.5 -30
0 1 -.5 12
or
c1 + 1.5c2 = -30
c2 - .5c3
not sure what to do now.