- #1
kant
- 388
- 0
How do you know if this:
| 0_-8_5|
|3_-7_4 |
|-1_5_-4|
| 1_-3_2|
a linearly independent set?
The answer at the back of the book say that it is independent, but obvious there are free variable in this matrix , thus imply a nontrival solution for AX=0, so it must be depend.
Let:
v( sub 1) =
|1 |
|-3|
|2 |
v( sub 2 ) =
|-3 |
|9 |
|-6 |
v( sub 3)
|5|
|-7|
|h |
for what value of h is v( sub 3) in Span{ V( sub 2), v( sub2)}?
for what of h is {v(s1), v(s2), v(s3) } linear independent?
| 0_-8_5|
|3_-7_4 |
|-1_5_-4|
| 1_-3_2|
a linearly independent set?
The answer at the back of the book say that it is independent, but obvious there are free variable in this matrix , thus imply a nontrival solution for AX=0, so it must be depend.
Let:
v( sub 1) =
|1 |
|-3|
|2 |
v( sub 2 ) =
|-3 |
|9 |
|-6 |
v( sub 3)
|5|
|-7|
|h |
for what value of h is v( sub 3) in Span{ V( sub 2), v( sub2)}?
for what of h is {v(s1), v(s2), v(s3) } linear independent?