Question: Consider the matrix 5 -10 0 A=1|-10 0 10 0 10 =5 1. Recall the following fact from Lecture 24: an n x n matrix

Consider the matrix 5 -10 0 A=1|-10 0 10 0 10 =5 1. Recall the following fact from Lecture 24: an n x n matrix with n distinct eigenvalues has n corresponding linearly independent eigenvectors. Verify the fact above for matrix A. 2. Find a diagonal matrix D and an orthogonal matrix V such that D = V1AV

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