More Problems on Linear Systems and Matrices

Problem. Consider the linear system

x + 3y - z &=& a \\
x + 2y &=& b \\
3x + 7y - z &=& c \\
\end{array} \right.\end{displaymath}

Find the necessary and sufficient conditions on $a$, $b$, and $c$for the above system to be consistent.
Discuss your answer (to (1)) when

\begin{displaymath}a=1,\; b=1,\; c=3\end{displaymath}


\begin{displaymath}a=1,\; b=0,\; c=-1\end{displaymath}


If you prefer to jump to the next problem, click on Next Problem below.

[Next Problem] [Matrix Algebra]
[Trigonometry] [Calculus]
[Geometry] [Algebra] [Differential Equations]
[Calculus] [Complex Variables]

S.O.S MATHematics home page

Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.

Mohamed A. Khamsi

Copyright 1999-2017 MathMedics, LLC. All rights reserved.
Contact us
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA
users online during the last hour