Homework linear algebra

_____________________________________________________________________________________ Assignment 2, MATH 216, Semester 372, JUC-Female Branch Page 1 of 4

JUBAIL UNIVERSITY COLLEGE

Semester 372

MATH 216 Assignment 2

Date of Submission: 04-05-2017

Name: _________________________________ ID: ____________________________ Section: _____

1. Find the eigenvalues and associated eigenvectors of the given matrix A.

3 5 2

A 0 2 0

0 2 1

   

     

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2. The given vectors span a subspace V of the indicated Euclidean space. Find a basis for the orthogonal

complement V 

of V .

     1 2 31,1,1,1,3 , 2,3,1, 4, 7 , 5,3, 7,1,5v v v  

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3. Solve the initial value problem.

        3

2 1 ; 0 0 0, 0 1 x

y y y x e y y y         

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4. Apply the eigenvalue method to find a general solution of the given system.

1 1 2 2 1 2

3 4 , 6 5x x x x x x     