A linear system of the formAx = 0is called homogeneous. Justify the following facts: a
Chapter 1, Problem 47(choose chapter or problem)
A linear system of the formAx = 0is called homogeneous. Justify the following facts: a. All homogeneous systems are consistent. b. A homogeneous system with fewer equations than unknowns has infinitely many solutions. c. If.? i and x2 are solutions of the homogeneous system A jc = 0, then Jc i + x2 is a solution as well. d. If x is a solution of the homogeneous system Ax = 0 and k is an arbitrary constant, then kx is a solution as well.
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