MAT244-2013S > Term Test 2

TT2 Question 1

(1/1)

**Matthew Cristoferi-Paolucci**:

\begin{equation*}

\left\{ \begin{array}{ll}

x'=-3y+7z\\

y'=-y+5z\\

z'=-y+z

\end{array}\right.

\end{equation*}

**Iven Poon**:

My super high quality solution for question 1.

**Victor Lam**:

my solution

**Victor Ivrii**:

Matthew' solution is correct but in some way incomplete: since two eigenvalues are complex (and complex conjugate) there are two forms of solutions: a complex form and he found only the complex form; Iven and Victor found both. despite Victor' solution looks different it is not: in fact he got the same eigenvector albeit multiplied by factor $-2i$ (which be also an eigenvector) and this is the source of "discrepancy".

**Victor Lam**:

It appears that I have left out a negative sign in my previous scan. My apologies. For completion, I have fixed the error in red in the re scan.

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