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## Solved Question Papers

 Code No. R07A1BS06 Set No. 1

I B. Tech. Supplementary Examination Aug./Sep. 2008

Mathematical Methods

 Time: 3 hours Max Marks: 80

Answer any FIVE Questions
All questions carry equal marks

1.

1. Solve the system 2xy + 3z = 0, 3x + 2y + z = 0 and x – 4y + 5z = 0.
2. Find all the solutions of the system of equations x + 2yz = 0, 2x + y + z = 0, x – 4y + 5z = 0.

[8 + 8]

2. Find the eigenvalues and eigenvectors of

[16]

3. Find the transformation that will transform 10x2 + 2y2 + 5z2 + 6yz – 10zx – 4xy into a sum of squares and find its reduced form.

[16]

4.

1. Solve the equation x3 + x2 – 1 = 0 for ...

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