Suppose that A = _ 2 4 3 6 _ (a) Compute det A. Is A invertible? (b) Suppose that X = _
Chapter 9, Problem 57(choose chapter or problem)
Suppose that A = _ 2 4 3 6 _ (a) Compute det A. Is A invertible? (b) Suppose that X = _ x y _ and B = _ b1 b2 _ Write AX = B as a system of linear equations. (c) Show that if B = _ 3 9 2 _ then AX = B has infinitely many solutions. Graph the two straight lines associated with the corresponding system of linear equations, and explain why the system has infinitely many solutions. (d) Find a column vector B = _ b1 b2 _ so that AX = B has no solutions.
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