1. (30 marks) Let a be a real number, and Ag be the (4 x 4)-square matrix given by [1 2 1 2 1 3 1 2 A 0 0 (1 2 1 3] (a)

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1 30 Marks Let A Be A Real Number And Ag Be The 4 X 4 Square Matrix Given By 1 2 1 2 1 3 1 2 A 0 0 1 2 1 3 A 1 (27.42 KiB) Viewed 20 times

1. (30 marks) Let a be a real number, and Ag be the (4 x 4)-square matrix given by [1 2 1 2 1 3 1 2 A 0 0 (1 2 1 3] (a) By applying row operations, determine for which values of a the matrix Aq is invertible. Where Ag is invertible, also write down the matrix inverse of Ag. 1 CE (b) Let b = 0 0 Solve the system of linear equations LS(A_1A1, b). Give the solution(s) of the system explicitly.