Linear Transformation in Mathematics

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pyroknife
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I attached the problem, idk if it's really easy or If I'm doing it all wrong.

Since T is a linear transformation T(u+v)=T(u)+T(v)=w+0=w?
 
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  • Textbook problem 40: Suppose that T: V → W is a linear transformation and T(u) = w. If T(v) = 0, then find T(u + v).
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pyroknife said:
I attached the problem, idk if it's really easy or If I'm doing it all wrong.

Since T is a linear transformation T(u+v)=T(u)+T(v)=w+0=w?

Well, sure. What do you think you could possibly be doing wrong?
 
Idk just seems too easy for a problem found at the "end" of a section lol.
 
pyroknife said:
Idk just seems too easy for a problem found at the "end" of a section lol.

Have a little more confidence in what you know!