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1) This question concerns the linear transformation represented by a 3x3 matrix of real numbers.
With respect to the standard basis in both the domain and codomain.
(a) Determine the characteristic polynomial for A.
(b) Show that lambda = 1 is an eigenvalue and find the remaining eigenvalues of A.
(c) Determine all the corresponding eigenvectors and eigenspaces.
(d) Write down a matrix P and a diagonal matrix D such that (P^-1)AP=D
(e) Hence verify that (P^-1)AP=D by matrix multiplication.
Attachment:- BM05.zip
Which type of correlation is suggested by the scatter plot? Write the equation of a line that is perpendicular to the given line and that passes through the given point.
Here we need to first figure out something more about outdegrees and indegrees and orders of regular digraphs. Try to find a regular digraps with 3, 4, 5 ,6 vertices, and generalize.
You have been asked to give a presentation on the relation between race and social inequality in the United States on the following issues: What is race?
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