- #1
luvlybug1025
- 5
- 0
Homework Statement
a)Construct a 3x3 matrix, not in Echelon form, whose columns do NOT span R3. Prove.
b)Can a set of 3 vectors Span all of R4? Explain.
Homework Equations
The Attempt at a Solution
a)OK...I can make up plenty of matrices in Echelon form that fit, but how do I come up with one before it reaches Echelon form? Would it be like:
6 8 -4 3
2 5 1 -1
-2 -5 -1 1
because the last equation will "zero out"?
b)Someone told me this could happen, but I just don't see how. I thought every basis for R4 had to contain exactly 4 vectors?