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

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.

The fully formatted problem is in the attached file.

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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

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#### Solution Summary

This solution provides step by step calculations in an attached Word document.