Solved: PROBLEM 28ESuppose a, b, c, and d are constants

Chapter 1, Problem 28E

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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.

\(a x_{1}+b x_{2}=f\)

\(c x_{1}+d x_{2}=g\)

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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

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