?Let\(\left[\begin{array}{llll} a & 0 & b & 2 \\ a & a & 4 & 4 \\ 0 & a & 2 & b

Chapter 1, Problem 9

(choose chapter or problem)

Let

$\left[\begin{array}{llll} a & 0 & b & 2 \\ a & a & 4 & 4 \\ 0 & a & 2 & b \end{array}\right] $

be the augmented matrix for a linear system. Find for what values of a and b the system has a.

a. unique solution.

b. a one-parameter solution.

c. a two-parameter solution.

d. no solution.

Equation Transcription:

[ ${\ }_{\ \ 0\ \ \ \ \ a\ \ \ \ 2\ \ \ \ \ b}^{{\ }_{a\ \ \ \ \ \ \ \ a\ \ \ \ \ \ \ 4\ \ \ \ \ \ \ \ 4}^{a\ \ \ \ \ \ \ \ 0\ \ \ \ \ \ \ b\ \ \ \ \ \ \ \ \ 2}}$ ]

Text Transcription:

[a 0 b 2

1 a 4 4

0 a 2 b]

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