Consider the equation Ax=b, with
a=(1 1 a)
(1 -1 1)
(2 -1 -1)
( b )
( b )
for which values of a,b this system has no solutions? infinitely many solutions? unique solution? if possible, find the solution x explicitly in terms of a,b.© BrainMass Inc. brainmass.com February 4, 2021, 6:31 pm ad1c9bdddf
So it is obvious that the system has no solution if
-(5+a)/2 = 0 but -3-b 0, ...
This looks at a system of equations and shows how to determine if it has no, infinitely many, or one unique solution, and then shows how to find the solution explicitly in terms of a and b.