Mathematical Methods

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