Question

show that the vectors u=(1,2,3);v=(0,1,2);and w=(0,0,1) generates R^3(3-d)

Answer 1

help guys

Answer 2

does "generate" mean "span" maybe?

Answer 3

jah ,i think so

Answer 4

There are a lot of ways to show this, but the fastest is probably to set up a matrix and take the determinant. If the determinant is non-=zero, then the three vectors are linearly independent, which means they span \(\mathbb R^3\)