Please show detailed answer steps (Linear algebra) V(F) = R (R) a vector space and T: R3 → R³ , T (x, y, z) = (2x, 0, z) Let there be a linear operator defined by. The standard base of E, R3 and B =...

Please show detailed answer steps ( Linear algebra)

Extracted text: Please show detailed answer steps (Linear algebra) V(F) = R (R) a vector space and T: R3 → R³ , T (x, y, z) = (2x, 0, z) Let there be a linear operator defined by. The standard base of E, R3 and B = {(1,1,0), (1,1,1), (2,0,0)} R3 get another some. Then, a) EB BE, (Q = P-1) Find the transition matrices. ve b) [T]E, [T]B ve [T] Find the matrices. c) P[T]EP=1 = [T]B Verify the equation.