Nullity, rank, image and kernel answer check

  • Thread starter franky2727
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My question is let the linear mapping T : R2->R3 be given by T(x,y)=(x-y,2y-2x,0)

write down bases for its image and null-space and determine its rank and nullity.
Find the matrix A that represents T with respect to the standard bases of R2 and R3

now i think i know how to do this but i'm revising and have no answers and would hate to be revising the wrong things, so can i please have a moment of someones time to confirm this is right, thanks

firstly A= {(1,-1),(-2,2),(0,0)}

kernal is when y=x so bases for a kernal is a(1,1) and n(t)=1

image is b(1,-2,0) r(t)=1

so r(t)+n(t)=2 as expected
 

Answers and Replies

  • #2
Dick
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Looks ok to me.
 

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