A First Course in Linear Algebra · Problem SSLE.M40

Systems of Linear Equations — Robert Beezer

Mathematics — Linear Algebra · solving-systems-of-linear-equations

Problem

Solutions to the system in Example IS are given as

(x_1, x_2, x_3, x_4) = (-1 - 2a + 3b,\; 4 + a - 2b,\; a,\; b)

Evaluate the three equations of the original system with these expressions in

a

and

b

and verify that each equation is true, no matter what values are chosen for

a

and

b