Consider the m × n homogeneous system of linear equations (a) If x = [x1 x...

Consider the m × n homogeneous system of linear equations

(a) If x = [x₁ x₂ . . . x_n] ^T and y = [y₁ y₂ . . . y_n]^T are solutions to (2.3.2), show that

are also solutions, where c is an arbitrary scalar.

(b) Is the result of (a) true when x and y are solutions to the nonhomogeneous system Ax = b? Explain.