Consider a system of the form A a cT x xn+1 = b bn+1 where A is a nonsingular nn matrix
Chapter 1, Problem 22(choose chapter or problem)
Consider a system of the form A a cT x xn+1 = b bn+1 where A is a nonsingular nn matrix and a, b, and c are vectors in Rn. (a) Multiply both sides of the system by A1 0 cT A1 1 to obtain an equivalent triangular system. (b) Set y = A1a and z = A1b. Show that if cT y _= 0, then the solution of the system can be determined by letting xn+1 = bn+1 cT z cT y and then setting x = z xn+1y
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