Maximum Marks: 20       

                                                                                                                                                      Due Date: January 17, 2013

INSTRUCTIONS

 

Please read the following instructions before attempting the solution of this assignment: 

 •      To solve this assignment, you should have good command over 23-30 lectures.

In order to solve this assignment you have strong concepts about following topics


ü  Coordinate systems.

ü  Dimension of a Vector Space.

ü  Change of Bases of a Vector Space.

ü  Applications of vector spaces to Difference Equations.

ü  Eigenvalues and Characteristics of a Matrix.

ü  Diagonalization of a Matrix.

Try to get the concepts, consolidate your concepts and ideas from these questions which you learn in these lectures.

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The set    is a basis for P₂. Find the coordinate vector of    relative to.

 

Let

Find a basis {u₁, u₂, u₃} for R³ such that P is the change-of-coordinates matrix from {u₁, u₂, u₃} to the basis {v₁, v₂, v₃}.