IGNOU MST 22 SOLVED ASSIGNMENT

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MST 22: Linear Algebra and Multivariate Calculus

Title Name	IGNOU MST 22 SOLVED ASSIGNMENT
Type	Soft Copy (E-Assignment) .pdf
University	IGNOU
Degree	MASTER DEGREE PROGRAMMES
Course Code	MSCAST
Course Name	M.Sc. (Applied Statistics)
Subject Code	MST 22
Subject Name	Linear Algebra and Multivariate Calculus
Year	2025
Session	-
Language	English Medium
Assignment Code	MST 22/Assignment-1/2025
Product Description	Assignment of MSCAST (M.Sc. (Applied Statistics)) 2025. Latest MST 022 2026 Solved Assignment Solutions
Last Date of IGNOU Assignment Submission	Last Date of Submission of IGNOU BEGC-131 (BAG) 2025-26 Assignment is for January 2026 Session: 30th September, 2026 (for December 2025 Term End Exam). Semester Wise January 2025 Session: 30th March, 2026 (for June 2026 Term End Exam). July 2025 Session: 30th September, 2025 (for December 2025 Term End Exam).
Format	Ready-to-Print PDF (.soft copy)

📅 Important Submission Dates

January 2025 Session: 31st October, 2025
July 2025 Session: 30th April, 2025

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MST 022 (January 2025 - July 2025) - ENGLISH

TUTOR MARKED ASSIGNMENT

MST-022: Linear Algebra and Multivariate Calculus

Course Code: MST-022

Assignment Code: MST-022/TMA/2025

Maximum Marks: 100

Note: All questions are compulsory. Answer in your own words.

1. (a) Using Gram Schmidt orthogonalisation process find orthogonal basis for the subspace of IR

$ext{having basis}w_1=egin{bmatrix}1\0\1\0end{bmatrix},quad w_2=egin{bmatrix}2\0\0\2end{bmatrix}, ext{and}w_3=egin{bmatrix}0\0\4\4end{bmatrix}.$

(b) Gradient of the function $f(x,y)=2x^2-frac{1}{3}y^2 ext{$ at the point P(1, 2) is:

$egin{array}{llll}(A);4mathbf{i}-frac{4}{3}mathbf{j}&(B);4mathbf{i}+frac{4}{3}mathbf{j}&(C);4mathbf{i}-frac{3}{4}mathbf{j}&(D);4mathbf{i}+frac{3}{4}mathbf{j}end{array}$

$egin{array}{llll}(A);x+xy&(B);x-xy&(C);2x+y&(D);xy-xend{array}$

2. Obtain SVD of the matrix $A=egin{bmatrix}2&1\1&0\0&1end{bmatrix}.$

3. Find the greatest and smallest values that the function $f(x,y)=xy,quad(x,y)inmathbb{R}^2$ takes on the ellipse $x^2+4y^2=4$ using the Method of Lagrange Multipliers,

4. $ext{Let}(V=mathbb{R}^2,langlecdot,cdot angle)$ be an inner product space over the field $F=mathbb{R}$ .We are expecting that variables x and y are related by a relation of the form $y=alpha+eta x, ext{where}alpha,etainmathbb{F} ext{and}(x,y)in V.$ Values 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. Image ignou-ignouacademy-com-ignou-mst-22-solved-assignment-html-p-solved-37969

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