Given V = R, and two bases: B and C and the coordinator [v]B a) Find the change of coordinates matrix PB rightarrow C. b) Find the coordinator [v]C.

Elleanor Mckenzie 2021-02-19 Answered
Given V = R, and two bases: B and C and the coordinator [v]B a) Find the change of coordinates matrix PBC. b) Find the coordinator [v]C.
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Expert Answer

Fatema Sutton
Answered 2021-02-20 Author has 88 answers

a .[92]=1[21]+2[31]21+(3)2=91+2=221+22=421+32=92=11=3[43]=B1[21]+B2[31]2B13B2=4B1+B2=32B1+2B2=62B13B2=4B2=2,B1=1PBC=[1B12B2]=[3112]

b. Now v=[3427]=1[21]2[31]2132=341+2=2721+22=5452=202=41=23[v]C=[12]=[234]

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