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Subject:
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Topic:

matrix

Instructions:
this is a gft form my side and i hope you will likw this. and you are contionusly seeing for solving these problem.
Content:

ASSIGNMENT NO: 2

MTH501

BC210411677

SOLUTION NO 1

Find the eigenvalues and eigenvectors of the following matrix?

A=1 -1 4 3 2 -1 2 1 -1

Solution: 

By subtracting diagonal values by λ we get

Determinant of above matrix

Now by multiplying C2 by λ-1 and subtracting C2 from C1 we get

By Multiplying C2 by 4 and adding C2 to C3 we get

Now

By solving equation we get

These are the eigen values.

Now we will find the eigen vectors.

When

Then

Reduced row echelon form of th

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