Let Ax = 0 describe an m n homogeneous system of linear equations. Suppose that...

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Let Ax = 0 describe an m × n homogeneous system of linear equations. Suppose that g - || Y1 Y2 Yn v and z = Z1 22 Zn are each solutions to Ax = 0. = Show that 7 = ý + 2 and w are also solutions to the су homogeneous system, where cis an arbitrary scalar. B. Are the results from Part (A) true when y and Z are each solutions to the inhomogeneous system Az = b? In other words, are = = y + z and w = cỳ also solutions to Ax = 6 where 60 ? Explain why or why not. Let Ax = 0 describe an m × n homogeneous system of linear equations. Suppose that g - || Y1 Y2 Yn v and z = Z1 22 Zn are each solutions to Ax = 0. = Show that 7 = ý + 2 and w are also solutions to the су homogeneous system, where cis an arbitrary scalar. B. Are the results from Part (A) true when y and Z are each solutions to the inhomogeneous system Az = b? In other words, are = = y + z and w = cỳ also solutions to Ax = 6 where 60 ? Explain why or why not.