Question: Please use the following values for: P = i, Q = i, R = 6, S = 6, T = 7, U =8 Use these

Please use the following values for: P = i, Q = i, R = 6, S = 6, T = 7, U =8 Use these matrices and vectors for Q1 ONLY: A = G; g) B = ('[Il' :11) C = (3 UP)' U P T Q R S) and the vector v : (T). Let i he the 2 x 2 identitilr matrix. andE:( S [i] Without performing any calculations, say whether the six matrixmatrix or matrixvector multiplications are possible or not: AE, EA, UE, EU, EA, E'i. Give one reason for each multiplication case and write down the size of the result for those feasible cases. {in Find A". [iii] Using the inverse obtained in (ii) find it in the linear system of equations Ax = v. [iv] Find the eigenvalues of B and the corresponding eigenveetors. {v1 Without perform any calculation find the eigenvalues of C and explain why. Find also the corresponding eigenvectors. [vi] Explain what happen when B is applied to its eigenvectors

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