Let S~) ,J~ l[ -:][-;]1 [ -O_R,'; A~ LlO -0_""] 0.80 ' eo" ~m (a ) Show that S is ;j

Chapter 4, Problem 13

(choose chapter or problem)

Let S~) ,J~ l[ -:][-;]1 [ -O_R,'; A~ LlO -0_""] 0.80 ' eo" ~m (a ) Show that S is ;j basis for R2. (b) Find [ v]s' (c) Determine a scalar )'1 sLlch thai A \ '1 = A] VI ' (d) Determine a scalar 1.2 such thai A \'2 = 1.2 V2 . (e) Use the basis S and the results of parts (b) through (d) to determine an expression for A nv thai is a linear combination of V I and V2. (I) As /I increases. describe the limiting behavior of the sequence Av. A 2 ,., A 3' .. .. .. A n" ..

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