Prove whether or not these functions are linear transformation.
a) defined by
b) defined by
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A transformation, f, is linear if and only if it satisfies f(au+ bv)= af(u)+ bf(v) for any vectors u and v and any numbers a and b.
If then what is . Is it the same as ?
Last edited by mr fantastic; May 4th 2009 at 04:17 AM.
Reason: Fixed a subscript
Yeah I don't know how to show whether it is Linear or not.
Originally Posted by LL_5 Yeah I don't know how to show whether it is Linear or not. You have been told what to do. Try answering the question you were asked in post #2. Where do you get stuck?
This is what I have done so far to prove whther it is linear:
A map is linear if
But so is not a linear transformation.
Now you try and do . I think it is linear.....
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