"Determine whether each of the following functions is a linear transformation. If you think the(adsbygoogle = window.adsbygoogle || []).push({});

function is a linear transformation then prove that it is. If you think the function is not a linear

transformation then explain why.

(a) T : R2 ! R2; T(x, y) = (x − 2y, 2xy)."

I don't want an answer, i won't to learn how to do these types of problems, i never understood it at all, And stuff like this ??

T : R4 ! R3; T(x, y, z,w) = (x − 2y, y + w, z).

Find a matrix A such that T(u) = Au, where u 2 R4.

Consider the following linear transformations:

T : R2 ! R3; T(x, y) = (x + 3y, x − y, 2x),

S : R3 ! R3; S(x, y, z) = (x − 2y, y + z,−z).

(a) Is the composite linear transformation S T defined? If S T is defined, write down

formula for S T.

(b) Does the linear transformation S have an inverse? Give a reason for your answer.

Can you guys give me a link or something where i can learn wtf this means i never understood linear transformations, and i bombed out in the exam, but i want to get better. Thanks, BTW I DONT WANT ANSWERS :yuck: Just want to know how to do all kinds of problems like above

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# Homework Help: Linear Relations :?

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