Homework 7 - CSE 3380 Homework#7 Assigned Due Wednesday...

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CSE 3380 – Homework #7 Assigned: Wednesday, March 9, 2016 Due: Wednesday, March 23, 2016 at 3:50pm (the end of class) Note the following about the homework: 1. You must show your work to receive credit. 2. If your submission has more than one page, staple the pages. Assignment: Process 1. Given basis B and [ vx ] B , Fnd vx . B = bB 3 5 ± , B 3 2 ±² , [ vx ] B = B 1 2 ± 2. Given basis B and vx , Fnd [ vx ] B . B = bB 3 5 ± , B 3 2 ±² , vx = B 3 - 4 ± 3. ±ind the coordinates of the polynomial - 2 t 2 + 20 t - 10 given the basis B = { (2 - t ) 2 , (3 + t ) 2 , t 2 + 2 t + 3 } for P 2 . 4. Given bases B and C , Fnd P B C and P C B . Be clear as to which is which. B = bB - 1 1 ± , B 1 1 ±² , C = bB 1 2 ± , B 3 4 ±² 5. Given bases B and C , Fnd P B C and P C B . Be clear as to which is which. B = bB - 1 1 ± , B 1 1 ±² , C = bB 1 2 ± , B 3 4 ±² 6. If B = bB 3 5 ± , B 3 2 ±² , C = bB 1 2 ± , B 1 1 ±² and [ vx ] B = B 1 2 ± , what is [ vx ] C ? 7. If B = 1 1 4 , 2 2 2 , 3 - 3 - 10 , C = 1 - 1 - 5 , 0 1 3 , 0 0 1
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