Q3. Let L: R2R2 be a mapping from the vector space R2 to itself defined by L(x , y)= ( 2x+y, x-3y) for each (x.y) belong to R?. Show that L is a linear operator on R² and then find the representation matrix ms(L), where S is the standard bases of R?.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q3. Let L: R2-R2 be a mapping from the vector space R2 to itself
defined by L(x , y)= ( 2x+y, x-3y) for each (x,y) belong to R?. Show
that L is a linear operator on R² and then find the representation matrix
ms(L), where S is the standard bases of R2.
Transcribed Image Text:Q3. Let L: R2-R2 be a mapping from the vector space R2 to itself defined by L(x , y)= ( 2x+y, x-3y) for each (x,y) belong to R?. Show that L is a linear operator on R² and then find the representation matrix ms(L), where S is the standard bases of R2.
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