Reference no: EM131223652
This question concerns the following matrix: A = ([0,-√5],[√-5,-4]). This matrix is symmetric so it can be orthogonally diagonalised.
a} Enter the eigenvalues of Ain increasing order,separated by commas ?
b) Find an eigenvector for each eigenvalue. Enter these eigenvectors as a list, e.g. [0,1],[1,0] ?
c) For each eigenvalue λ ,find an orthonormal basis for the eigenspace Eλ.
Let P be a matrix with these orthonormal eigenvectors as columns. Enter the matrix P,as a list of row vectors. For example, the matrix is entered as [1,2],[3,4] P= ?
d) Enter the matrix product P^(T)*A*P (as per part (c)) ?
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