- #1

- 14

- 0

Determine whether the given set of vector spans M

_{2,2}

{(5 3;0 0),(0 0;5 3),(6 -1;0 0),(0 0;6 1)}

I wonder can I jus directly prove that

a(5 3;0 0)+b(0 0;5 3)+c(6 -1;0 0)+d(0 0;6 1) = (5a+6c 3a-c;5b+6d 3b+d)

is also a M

_{2,2}and hence,it is a vector sets spans M

_{2,2}?

Thanks a lot!