Solved: Let Ax = b. b =F o. be a consistent linear system. (8) Show that if xI' is a
Chapter 2, Problem 29(choose chapter or problem)
Let Ax = b. b =F o. be a consistent linear system. (8) Show that if xI' is a p:ll"licular solution to the given nonhomogeneous system and x. is a solution to Ihe ass.x:ialcu hQlllogelloous system Ax = O. thell x,. +. is a solution to the given system Ax = b. (b) Show that cvery solution x to the nonhomogeneous linear system Ax = b can be wrillen as xl' + XA, ..... here x,. is a palticular solution to the given nonhomogeneous system and Xh is a solution to the as.wdated homogenw u s system Ax = O. [Him: Let s = xr + (x - xl'). ]
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