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

Algebra ->  Matrices-and-determiminant -> 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      Log On


   

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) About Me  (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




So which means is unique