12-240/Classnotes for Thursday October 18: Difference between revisions
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== Linear transformation == |
== Linear transformation == |
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Definition: A function L: V-> W is called a linear transformation if it preserve following structures: |
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1) L(x + y)= L(x) + L(y) |
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2) L(cx)= c.L(x) |
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3) L(0 of V) = 0 of W |
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== 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
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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