6-1) with T defined by T(x)=Ax, find a vector x whose image under T is b, and determine whether x is unique. A = -3 0 1 3 -5 -4 b=

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6-1) with T defined by T(x)=Ax, find a vector x whose image under T is b, and determine whether x is
unique.
A =
-3
0
1
3-5
-4
"
b=
6-2) Let A be a 6x5 matrix. What must a and b be in order to define T:Rª-Rb by T(x)=Ax?
6-3) How many rows and columns must a matrix A have in order to define a mapping from R4 into R$ by
the rule T(x) = Ax?
Transcribed Image Text:6-1) with T defined by T(x)=Ax, find a vector x whose image under T is b, and determine whether x is unique. A = -3 0 1 3-5 -4 " b= 6-2) Let A be a 6x5 matrix. What must a and b be in order to define T:Rª-Rb by T(x)=Ax? 6-3) How many rows and columns must a matrix A have in order to define a mapping from R4 into R$ by the rule T(x) = Ax?
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