Suppose that AX= B is the representation of the system

Linear spaces and subspaces, linear transformations, bases, etc.

Suppose that AX= B is the representation of the system

Postby leke4everybody on Mon Mar 24, 2014 10:58 pm

Suppose that AX= B is the representation of the system of a linear equations.

A.Suppose Y is a solution of this system,and that Z1 and Z2 are solutions of the associated homogeneous system. Show that Y - 17 Z1 +16 Z2 is a solution of AX= B.

B.Suppose that Y1 and Y2 are solutions of AX=B.Show that 2Y1 -Y2 is also a solutions of AX=B.
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Re: Suppose that AX= B is the representation of the system

Postby FWT on Tue Mar 25, 2014 2:25 pm

What theorems did they guive you? Something like Theorem 2.1.5 here would give you the answer.
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