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frank0520
 one year ago
Suppose a, b, c and d are nonzero constants such that a d – b c = 1. Show that the augmented matrix a b  e
c d  f always represents a consistent and independent system of linear equations, no matter what the values of e and f.
frank0520
 one year ago
Suppose a, b, c and d are nonzero constants such that a d – b c = 1. Show that the augmented matrix a b  e c d  f always represents a consistent and independent system of linear equations, no matter what the values of e and f.

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frank0520
 one year ago
Best ResponseYou've already chosen the best response.0This is what I got so far and now I'm stuck: \[\left[\begin{matrix}a & b  e \\ c & df\end{matrix}\right]\] \[\left[\begin{matrix}ac & bcec \\ ac & adfa\end{matrix}\right]\] \[\left[\begin{matrix}ac & bcec \\ 0 & adbcfaec\end{matrix}\right]\]
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