2022-03-14
Answered

Find a 3x3 matrix A such that Ax⃗ =9x⃗ for all x⃗ in R

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nick1337

Answered 2022-03-24
Author has **510** answers

$Ax=9x$

Consider the matrix $3\times 3$

$=\left[\begin{array}{ccc}9& 0& 0\\ 0& 9& 0\\ 0& 0& 9\end{array}\right]$

$(A-9I)x=0$ for all $x$ in $A$

Since $A-9I=0$

this equals $0$ for all values of $x$

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