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Help on this question of Linear Algebra, thanks. This is a continuation of the previous problem....
A= 0.7 0.1 0.3 0.9 This is a continuation of the previous problem. Compute lim Ak A² PO, k+00 where ро 0.8 0.2
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6. Let A= 0.7 0.1 0.3 0.9 Find P and D such that A= PDP-1, where D is a diagonal matrix. 7. This is a continuation of the previous problem. Compute lim AK ) Po, where ро 0.8 0.2
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Let A= [ 0.7 0.1 0.3 0.9 Find P and D such that A = PDP-1, where D is a diagonal matrix.
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5. Suppose that B = P-1AP. (a) Prove that A and B have the same eigenvalues. (b) Prove that if x is an eigenvector of A, then P-1x is an edigenvector of B. 6. Let A= 0.7 0.1 0.3 0.9 Find P and D such that A = PDP-1, where D is a diagonal matrix. 7. This is a continuation of the previous...
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Let A = 0.7 0.1 0.3 0.9 Find P and D such that A = PDP-1, where D is a diagonal matrix.
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Let A be a square matrix. Prove that A is invertible if and only if det(A) +0.
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Prove that an n x n matrix A is diagonalizable if and only if A has n L.I. eigenvectors.
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Let W be a nonzero subspace of R". Prove that any two bases for W contain the same number of vectors.
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Show that 1 1 B= 0 5 4 2 -5 5 9 8 -7 is a basis for W, where W= 2s – 5t 3r + 8 - 2t r - 4s + 37 -r + 2s ER:r,s,t ER
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Find the equation of the least squares parabola for the following data: (0,2), (1,2), (2,4), (3,9) Then make a table that displays data point x-values, data point y-values, and the least square parabola values at data point x-values.