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For matrix
the characteristic polynomial of A is pA (x) = (4−x)(1−x)2. Find the eigenvalues and corresponding eigenspaces of A.
For matrix A =
belongs to book: A First Course in Linear Algebra|Robert A. Beezer|| Chapter number:6| Question number:C26
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Physics
Since we are given that the characteristic polynomial of A is pA (x) = (4−x)(1−x)2, we see that the eigenvalues are λ = 4 with algebraic multiplicity αA (4) = 1 and λ = 1 with algebraic multiplicity αA (1) = 2. The corresponding eigenspaces are
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