Find real numbers a, b, and c such that the following are true. a. * a + b a c c b a + =

Chapter 10, Problem 1

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Find real numbers a, b, and c such that the following are true.

a. \(\left[\begin{array}{cc}a+b & a-c \\ c & b-a\end{array}\right]=\left[\begin{array}{rr}1 & 0 \\ -1 & 3\end{array}\right]\)

b. \(\left[\begin{array}{cr}2 a & b+c \\ c-a & 2 b-a\end{array}\right]=\left[\begin{array}{rr}4 & 3 \\ 1 & -2\end{array}\right]\)

Text Transcription:

[a+b & a-c  c & b-a]=[1 & 0  -1 & 3]

[2 a & b+c c-a & 2 b-a]=[4 & 3 1 & -2]

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