In reference to version 224734d7be7ff0c4a8adb3a206356ea122112f33
One way to motivate linear independence is that you want to argue that the parametric form we came up with has the smallest number of possible vectors. It could be good to point out that the vectors in the parametric form are obviously linearly independent, and so you can't get away with fewer vectors.
In reference to version 224734d7be7ff0c4a8adb3a206356ea122112f33
One way to motivate linear independence is that you want to argue that the parametric form we came up with has the smallest number of possible vectors. It could be good to point out that the vectors in the parametric form are obviously linearly independent, and so you can't get away with fewer vectors.