Given the full and correct answer the two bases of B1

illusiia 2020-10-18 Answered

Given the full and correct answer the two bases of B1={(21),(32)}
B2={(31),(72)}
find the change of basis matrix from B1B2 and next use this matrix to covert the coordinate vector
vB1=(21) of v to its coodirnate vector
vB2

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Expert Answer

gwibdaithq
Answered 2020-10-19 Author has 84 answers

B1={[21],[32]}andB2={[31],[72]} Consider [B2:B1]=[37231212]
[12123723](R1R2)
[12120113](R1R23R1)
[10380113](R1R12R2)
change of basis matrix from
B1B2is
P=[3813]
men[v]B1=[21]
men[v]B2=P[v]B1=[3813][21]
[v]B2=[21]

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