find, rank, nullity,row space, column space, null space and left null space of A
\[\left[ -2, -2, -1, 0 , 1 \right]\] \[\left[ 1,2, 0, 1 , 0 \right]\] \[\left[ -1, 0, -1, 1 , 1 \right]\]
first of all, you have to get rref of A, show me your work
1 0 1 -1 -1 0 1 -.5 1 .5 0 0 0 0 0
good, how many pivots do you have?
2
yeap, so? the rank of A is?
2
2
row space is 1st 2 rows
of what, show me those row
1 0 1 -1 -1 0 1 -.5 1 .5
yep . now, which column do you have pivots?
what are they look like, right on rref
i dont know
take a look at first 2 column of rref
are they \[\left(\begin{matrix}1 \\ 0\\0\end{matrix}\right) and \left(\begin{matrix}0 \\ 1\\0\end{matrix}\right)\] they are your column space
@ terenze, @ asmistre64 too fun, many people stop by and leave, give me the medal for my stuff???? no help???
@amistre64 @terenzreignz
medals are up to the discretion of the asker and are not to be "demanded". medals are also given out by bystanders who appreciate the quality of help you provide. My question to medal ratio is about 1:2
... or is that medal to question ratio?
questions... asked or answered? :D
the Asker runs, just both you and me here..hahaha... too fun,!!
you did good one the answering part ;) and i consider my questions asked portion to be immaterial ;)
Now you've made me consider my own ratios, @amistre64 :>
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