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linalghw3 - B T M B B ST M B B TS Does M B B ST = M B B S M...

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1 homework 1, due wednesday, 4/27 in class, or in Vladimir’s box by 4:00pm 1.1 homework 1. Let V = f f ( x ) = a 0 + a 1 x + a 2 x 2 + a 3 x 3 which has basis B = { 1 , x, x 2 , x 3 } . also, let ( Tf )( x ) = f 0 ( x ) , ( Sf )( x ) = f ( x - 1) a. find the matrices M B , B ( S ), M
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Unformatted text preview: , B ( T ), M B , B ( ST ), M B , B ( TS ). Does M B , B ( ST ) = M B , B ( S ) M B , B ( T )? b. does ST = TS ? 2. axler chapter 3 # 3,7,12,15 1...
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