Answer Happy

Suppose ₁, 2, and vg are non-zero vectors in R³ (3-space) we know the set {₁, U₂, U3} is linearly dependent. Which of the following is true about the span of {1, 2, 3} (the set of all linear combination of these vectors)? The span cannot be all of R³. The span must be a line in R³, for any three such vectors ₁, U₂, U3. The span is the intersection of three lines in R³ The span must be all of ³. O The span must be a plane in R³, for any three such vectors ₁, U₂, U3.
Suppose A is a 2 x 2 matrix with linearly independent columns. [8] Does the matrix equation Aa= have a unique solution, no solution, or infinitely many solutions? Give a brief justification for your answer. If you believe the question is impossible to answer without more information, say why.