Solution Found!
. Consider a system of the form a11x1 + a12x2 = 0 a21x1 + a22x2 = 0 where a11, a12, a21
Chapter 1, Problem 10(choose chapter or problem)
Consider a system of the form
\(\begin{array}{l} a_{11} x_{1}+a_{12} x_{2}=0 \\ a_{21} x_{1}+a_{22} x_{2}=0 \end{array}\)
where \(a_{11}\), \(a_{12}\), \(a_{21}\), and \(a_{22}\) are constants. Explain why a system of this form must be consistent.
Questions & Answers
QUESTION:
Consider a system of the form
\(\begin{array}{l} a_{11} x_{1}+a_{12} x_{2}=0 \\ a_{21} x_{1}+a_{22} x_{2}=0 \end{array}\)
where \(a_{11}\), \(a_{12}\), \(a_{21}\), and \(a_{22}\) are constants. Explain why a system of this form must be consistent.
ANSWER:Step 1 of 2
Given system of equations is
\(\begin{array}{l} a_{11} x_{1}+a_{12} x_{2}=0 \\ a_{21} x_{1}+a_{22} x_{2}=0 \end{array}\)
Here, \(a_{11}\), \(a_{12}\), \(a_{21}\), and \(a_{22}\) are constants.
We are asked to explain why the system of this form must be consistent.