# Solutions for equations

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Consider the equation Ax=b, with

a=(1 1 a)

(1 -1 1)

(2 -1 -1)

b=(6+b)

( 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.

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#### Solution Preview

[A|b] =

So it is obvious that the system has no solution if

-(5+a)/2 = 0 but -3-b ï‚¹ 0, ...

#### Solution Summary

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.

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