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# Problem 13: Consider the basis B = {v1 = [1,2,31T = v2 = [1,2, 0JT , vg = [2, 0, 0JT} for R3 . Find the coordinate vector (v)B for the following vectors:v = [1,0, 0...

## Question

###### Problem 13: Consider the basis B = {v1 = [1,2,31T = v2 = [1,2, 0JT , vg = [2, 0, 0JT} for R3 . Find the coordinate vector (v)B for the following vectors:v = [1,0, 0]T 8 U = [0,1, 0JT U = [0, 0, 1]TUse your answers for parts (a)-(c) to find the change of basis matrix AB'-B that sends a vector & (represented using the standard basis B') to (w)B.

Problem 13: Consider the basis B = {v1 = [1,2,31T = v2 = [1,2, 0JT , vg = [2, 0, 0JT} for R3 . Find the coordinate vector (v)B for the following vectors: v = [1,0, 0]T 8 U = [0,1, 0JT U = [0, 0, 1]T Use your answers for parts (a)-(c) to find the change of basis matrix AB'-B that sends a vector & (represented using the standard basis B') to (w)B.

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