Let B={b1, b2, b3}and C={ci, c2, c3} be two bases for a vector space V, and...

 

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Let B={b1, b2, b3}and C={ci, c2, c3} be two bases for a vector space V, and suppose each b; can be written as linear combinations of the c as follows: B2=2cj+c+2c3 = - Find PC-B, the change-of-coordinates matrix from B to C and use it to find [x]c if [x]B is as given below. 0 0 0 Pc-B =0 00 0 0 0 -1 if [x]B -5 then [x]c = !! Let B={b1, b2, b3}and C={ci, c2, c3} be two bases for a vector space V, and suppose each b; can be written as linear combinations of the c as follows: B2=2cj+c+2c3 = - Find PC-B, the change-of-coordinates matrix from B to C and use it to find [x]c if [x]B is as given below. 0 0 0 Pc-B =0 00 0 0 0 -1 if [x]B -5 then [x]c = !!