Simultaneous Equation minichallenge  Printable Version + HP Forums (https://archived.hpcalc.org/museumforum) + Forum: HP Museum Forums (https://archived.hpcalc.org/museumforum/forum1.html) + Forum: Old HP Forum Archives (https://archived.hpcalc.org/museumforum/forum2.html) + Thread: Simultaneous Equation minichallenge (/thread90198.html) 
Simultaneous Equation minichallenge  Rodger Rosenbaum  03312006 Quote:
Consider a linear system, Ax = B, where B is an all zeroes vector; in other words, the system Ax = 0. One obvious solution is x=0; this is called the trivial solution. We learn in linear algebra that the Ax = 0 system only has a solution if A is singular. Valentin's A matrix is almost singular, so maybe there is an approximate solution. Find a solution vector x with length 1 (use the ABS function on the HP49G+) that gives a result A*x that is the smallest possible.
