Mathematical Methods and Mechanics

Question I

Use Gaussian elimination with essenticl row intercharrges, to solve a set of simultaneous equations, in thrce unknowns x1,x2dfid.r3, given in the augmented matrix by,

(12 marks)

Qucstion 2

'\--., (a) Find fte eigenvalues, and corresponding eigenvectors, of the matrix

lt -rolB=l l. L5 -8J

(9 marks)

O) Find the general solution of the system of differential equations

.i = 7x-fiy t = 5r- 8y

(3 marks)

Ll 11:l