MATH-205 Midterm: Bates MATH 205 100909ross205examsoln
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~r/ rpni7;iii: let t: rb -,> rb be the linear transformation defined as t(x) = ax where a = la. What are a and b? a = qj. Tai]):aii] ~i"u}"[;]+"-in=i:f] l~j" find 8j1yjallconditions that bl, b" b" and b, must satisfy;n om"" fu, b to be;n the "ange 01t. Verily that s ~ l{~jsaus/iesthe oondiuo*) in 10. Find all x such that t(x) = s. 5/2. d,. ~ "rref-lii;" j f!1/ s] r,. ,jce1g g g -f ) """ 7(,,):, t {-- > /"jot;k. t ie tr~k p~ti lit rvw scmj" x, -)4 >1 =:x ~l {~"" 5( Note: this is pr m 1 continued! o~;e. Usethe condit"""""in (ic) to findallvaluesof doand d, forwhichd i, ;n the rangeoft. (note r you will be setting up a little linear system, and you should use our linear algebra techniques to solve it). h. [wl{o:: ~ i c r;j a j11~t sm" ~ 11($, itt: w
