6 = Find the change matrix Q' from the basis {C1, C2} to the basis {ei, ex}, and by using the formula A' = Qʻ-1 AQ”, fin

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6 Find The Change Matrix Q From The Basis C1 C2 To The Basis Ei Ex And By Using The Formula A Q 1 Aq Fin 1 (87.12 KiB) Viewed 20 times

I need the answer to problem 8.2, I already have the solution to
others you can maybe go find them on answers.
6 = Find the change matrix Q' from the basis {C1, C2} to the basis {ei, ex}, and by using the formula A' = Qʻ-1 AQ”, find the matrix A’ of A in the basis {C1, ex}. Find the change matrix Q" from the basis {e1,e2} to the basis {el, e"}. and by using the formula A” = Q"-1 AQ”, find the matrix A” of A in the basis {e”, e"}. 7 2 8.1 Find the change matrix Q from the basis {e{, ei} to the basis {en, e"}. Problem 8.2 By replacing with this matrix Q and the matrices A’ and A" computed in problems 6 and 7, verify the equality Q-A'Q = A”. = = Hint. For computing the change matrix Q in (8.1) one can use the formula E" = E'Q for the matrices E' = (@1 | ea) and E" = (ei | e).