12-240/Classnotes for Thursday October 18: Difference between revisions

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== Linear transformation ==
== Linear transformation ==
Definition: A function L: V-> W is called a linear transformation if it preserve following structures:

1) L(x + y)= L(x) + L(y)
2) L(cx)= c.L(x)
3) L(0 of V) = 0 of W


== lecture note on oct 18, uploaded by [[User:starash|starash]]==
== lecture note on oct 18, uploaded by [[User:starash|starash]]==

Revision as of 21:49, 25 October 2012

Linear transformation

Definition: A function L: V-> W is called a linear transformation if it preserve following structures:

1) L(x + y)= L(x) + L(y) 2) L(cx)= c.L(x) 3) L(0 of V) = 0 of W

lecture note on oct 18, uploaded by starash