Numerical Method - Old Questions

4. Solve the following system of linear equations using Gauss-elimination method (use partial pivoting if necessary);(8)

        2x2 + x4 = 0
        2x1 + 2x2 + 3x3 + 2x4 = -2
        4x1 – 3x2 + x4 = -7
        6x1 + x2 – 6x3 – 5x4 = 6 

OR

What do you mean by eigen -value eigen- vector problems? Find the largest eigen value correct to two significant digits and corresponding eigen vectors of the following matrix using power method.(2 + 6)
        
8 marks | Asked in 2068