Dases C= and E on R3, (i) Find the vector v3 of R' whose component vector with respect to C is [v3]c = and write its component vector [v3]E with respect to E. (ii) Find the 3 x 3 change-of-basis matrix PE-C. Check your answer by computing (v3]E = PE-c(v3]c and comparing to what you found in part (i). (iii) Invert Pge-c to find Pe-E- Then use PcE to find the component vector [va]c of V2 = 2 relative to C. 223

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