Category solved model papers

9.C] Using power method find the largest eigenvalue and the corresponding eigenvector of the matrix A = Answer:

4.A] Evaluate i) . ii)

3.C] Find the extreme values of the function 𝑓(𝑥, 𝑦) = 𝑥 3 + 3𝑥𝑦 2 − 3𝑦 2 − 3𝑥 2 + 4

4 b] If Show that

10 c] Solve the system of equations by Gauss elimination method2x+y+4z = 124x+11y-z= 338x-3y+2z = 20

10 b] Test for consistencyx-2y+3z = 23x-y+4z= 42x+y-2z = 5 and hence solve

10.A] Solve the following system of equations by Gauss – Seidel method 10x+y+z=12, x+10y+z=12, x+y+10z=12. Answer:

10 a] Solve the following system of equation by Gauss-Seidel method:20x+y-2z = 173x+20y-z = -182x-3y+20z = 25

9 c] Using power method, find the largest eigenvalue and corresponding eigenvector of the matrix

10.B] For what values of a and b the system of equation x + y + z = 6: x + 2y + 3z = 10: x + 2y +…