Question: Please explain each step and method: Question 10: 7 Marks Find A and write the following linear system in the matrix equation form (Mg A)X

Please explain each step and method:

Question 10: 7 Marks Find A and write the following linear system in the matrix equation form (Mg A)X = O x + y = Ax 3x + y = A y. For the systems above, nd: (10.1) The determinant (known as the characteristic equation). (2) (10.2) Solve for A when det(/\\(2 A) = 0. (2) (10.3) Substitute for each value of A from (ii) into the equation (Mg A)X = 0 and solve the (3) corresponding system for X = [ j ]

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