IGNOU MST 22 SOLVED ASSIGNMENT

Ques 1.

Using Gram Schmidt orthogonalisation process find orthogonal basis for the subspace of IR

Ques 2.

Gradient of the functionat the point P(1, 2) is:

Ques 3.

Using Taylor’s formula forr the quadratic approximation of f(x, y) near origin is:

Ques 4.

Obtain SVD of the matrix

Ques 5.

Find the greatest and smallest values that the function takes on the ellipseusing the Method of Lagrange Multipliers,

Ques 6.

.be an inner product space over the field.We are expecting that variables x and y are related by a relation of the formValues of theordered pair (x, y) were observed and are shown in Fig. 1 by points A, B and C. Obtain the least square solution of the problem. Also, visualise your solution.

Ques 7.

Using Gram Schmidt orthogonalisation process find orthogonal basis for the subspace of IR

Ques 8.

Gradient of the functionat the point P(1, 2) is:

Ques 9.

Using Taylor’s formula forr the quadratic approximation of f(x, y) near origin is:

Ques 10.

Obtain SVD of the matrix

Ques 11.

Find the greatest and smallest values that the function takes on the ellipseusing the Method of Lagrange Multipliers,

Ques 12.

.be an inner product space over the field.We are expecting that variables x and y are related by a relation of the formValues of theordered pair (x, y) were observed and are shown in Fig. 1 by points A, B and C. Obtain the least square solution of the problem. Also, visualise your solution.

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