1
answer
0
watching
194
views
10 Nov 2019
PROBLEM 3. Which of the following are linear transformations and which are pretenders? Give reasons for your answers. (a) R AR where fr) 3r. (b) R2 4 R where f(x, y) x2 + y2 (c) R2 >R3 where f(x, y) 3 +4y, 7y 4r, 2n) (d) RR where f(x) 37 (e) [0, 1R where f()2 (f) V à W P, V, where Pi (v, w) = u with vector spaves V and W and the set V à W made into a vector space with vector addition defined by (, )(') u) and scalar multiplication defined by λ(v, w)--(Au,Au). (5 x 6 30 marks
PROBLEM 3. Which of the following are linear transformations and which are pretenders? Give reasons for your answers. (a) R AR where fr) 3r. (b) R2 4 R where f(x, y) x2 + y2 (c) R2 >R3 where f(x, y) 3 +4y, 7y 4r, 2n) (d) RR where f(x) 37 (e) [0, 1R where f()2 (f) V à W P, V, where Pi (v, w) = u with vector spaves V and W and the set V à W made into a vector space with vector addition defined by (, )(') u) and scalar multiplication defined by λ(v, w)--(Au,Au). (5 x 6 30 marks
Reid WolffLv2
27 Mar 2019