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Math Help - [SOLVED] Homogeneous system

  1. #1
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    [SOLVED] Homogeneous system

    If A is a 3x3 matrix and a_1+2a_2-a_3=0, then A must be singular.

    True since \begin{bmatrix}<br />
0\\ <br />
0\\ <br />
0<br />
\end{bmatrix} and \begin{bmatrix}<br />
1\\ <br />
-2\\ <br />
-1<br />
\end{bmatrix} are solutions to the equations Ax=b.
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  2. #2
    Senior Member jakncoke's Avatar
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    true since, it has a nontrivial solution to the homogenous eqn.
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