Linear Algebra please show all work. Question 1 (5 points). Consider the following statement and proof: Let V be a vector space over F. Then for alpha, beta E F and x E V, we have (alpha x)beta = alpha (x beta). Proof. We have and this shows the equality. Using the definition sheet, justify each equality in the proof: (1) Equality follows from (2) Equality follows from (3) Equality follows from (4) Equality follows from (5) Equality follows from Solution jhj.