SOLUTION: Here T defined by .Find a vector �x� whose image under T is b, and determines whether x is unique. A=1 -3 2 0 1 -4 3 -5 -9 b= 6 -7 -9

Question 106640: Here T defined by .Find a vector �x� whose image under T is b, and determines whether x is unique.
A=1 -3 2
0 1 -4
3 -5 -9
b= 6
-7
-9
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

such that

Remember

, so this means

Now plug in

and

So which vectors

will satisfy this matrix vector equation?

To find out, simply set up the augmented matrix

Now row reduce the augmented matrix to get

which means

is unique

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