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Find the eigen values and eigen vectors of the matrix A = [9, -1, 9; 3, -1, 3; -7, 1, -7].

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Find the eigen values and eigen vectors of the matrix

A = [9, -1 , 9; 3 , -1 , 3; -7 , 1 , -7]

Also find the corresponding eigen spaces for the matrix A.
Find a matrix B which reduce the given matrix A to the diagonal form by the transformation B^(-1)AB.

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Linear Algebra
Matrices (VIII)
Eigen Values, Eigen Vectors, Eigen Spaces
and Diagonalizable Matrix

By:- Thokchom Sarojkumar Sinha

Find the eigen values and eigen vectors of the matrix

Also find the corresponding eigen spaces for the matrix .
Find a matrix which reduce the given matrix to the diagonal form by the transformation .

Solution :-

Then gives

or,

or,

or,

or,

or,

...

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  • MSc, Kanpur University
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