- #1
playboy
A question reads:
Let T: V-->W be a linear transformation.
a) If T is one-to-one and TR=TR1 for transformations R and R1: U -->V, show that R = R1
b) If T is onto and ST=S1T for transformations S and S1: W -->U, show that S=S1
I am sooo very lost here, and no idea where to start:(
for part a) what does it mean by TR and TR1?
just T(R): U --->V and T(R1): U ---V?
If its onto, dosn't that just mean T(R) = o and then show that R = 0?
I won't even bother with part be given that I am confused with part A
Can somebody help me please
Thanks
Let T: V-->W be a linear transformation.
a) If T is one-to-one and TR=TR1 for transformations R and R1: U -->V, show that R = R1
b) If T is onto and ST=S1T for transformations S and S1: W -->U, show that S=S1
I am sooo very lost here, and no idea where to start:(
for part a) what does it mean by TR and TR1?
just T(R): U --->V and T(R1): U ---V?
If its onto, dosn't that just mean T(R) = o and then show that R = 0?
I won't even bother with part be given that I am confused with part A
Can somebody help me please
Thanks