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Solved: PROBLEM 28ESuppose a, b, c, and d are constants
Chapter 1, Problem 28E(choose chapter or problem)
Suppose a, b, c, and d are constants such that a is not zero and the system below is consistent for all possible values of f and g. What can you say about the numbers a, b, c, and d? Justify your answer.
\(a x_{1}+b x_{2}=f\)
\(c x_{1}+d x_{2}=g\)
Questions & Answers
QUESTION:
Suppose a, b, c, and d are constants such that a is not zero and the system below is consistent for all possible values of f and g. What can you say about the numbers a, b, c, and d? Justify your answer.
\(a x_{1}+b x_{2}=f\)
\(c x_{1}+d x_{2}=g\)
ANSWER:SolutionStep 1 of 3Suppose a, b, c, and d are constants such that a is not zero and the system below is consistent for all possible values of f and g.It is given that the equation areax1 + bx2 = fcx1 + dx2 = gLet us draw the augmented matrix