- #1
gtfitzpatrick
- 379
- 0
if x1=
(2)
(1)
(3)
x2=
(3)
(-1)
(4)
x3=
(2)
(6)
(4)
show x1,x2,x3 are linear dependent and x1 and x2 are linearly dependent
ok so i formed a 3x3 matrix
2 3 2
1-1 6
3 4 4
and got the determinant. which came to -56+42+12=0 which proves they are linearly dependent right?
for the second part i looked for 2 constants a and b so that a(x1)+b(x2)=0
this gives me 3 eqs. 2a+3b=0 ; a-b=0 ; 3a+4b=0 but this seems to give a=b=0? which can't be right?Cant figure out what I'm doing wrong!
(2)
(1)
(3)
x2=
(3)
(-1)
(4)
x3=
(2)
(6)
(4)
show x1,x2,x3 are linear dependent and x1 and x2 are linearly dependent
ok so i formed a 3x3 matrix
2 3 2
1-1 6
3 4 4
and got the determinant. which came to -56+42+12=0 which proves they are linearly dependent right?
for the second part i looked for 2 constants a and b so that a(x1)+b(x2)=0
this gives me 3 eqs. 2a+3b=0 ; a-b=0 ; 3a+4b=0 but this seems to give a=b=0? which can't be right?Cant figure out what I'm doing wrong!