Question

Find a column vector r such that Ar=r where A=[.2 .8 ; .7 .3]. is there any other column vector besides [0 ; 0]?

Answer 1

.2a + .8b = a
.7a + .3b = b

Answer 2

That is, for the column vector [a ; b]

Answer 3

Solving that gives:
.8a = .8b
a = b
b = b

Tentatively... and this may be retarded because I drank too much wine,
but I'm gonna say every vector of the form [a ; a]
That is, as long as the top element is the same as the bottom element.

Answer 4

hahaha how would you find the column vector with the same properties

Answer 5

\[\left(\begin{matrix}a \\ a\end{matrix}\right)\]
pick an abritrary a

Answer 6

That's too simple of an answer. I'm probably blowing this in some simple way.

Answer 7

DRUNK MAFF.

Answer 8

thank you!