Assume that A is a
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Numerical Analysis
- Find the sequence of the elementary matrices whose product is the non singular matrix below. [2410]arrow_forwardShow that A=[0110] has no real eigenvalues.arrow_forwardFind the matrix to which P converges as n increases. n ان د ان 0.44444 0.44444 -* The matrix converges to 0.55555 0.55555 (Type an integer or decimal for each matrix element. Round to five decimal places as needed.)arrow_forward
- Q2. (a) Find the eigenvalues and corresponding eigenvector of the matrix -2 5 4 5 7. 4 5 -2arrow_forward(4) Let {xn} be a sequence such that xn of a suitable matrix to solve for xn. 5xn-1+6xn-2, X1 = -2, xo = 4. Use powerarrow_forward3 Find the dominant eigenvalue, 2,, and its corresponding eigenvector, v, of matrix A using the power method. Use v0) = (1 0 1)" and stop the iteration until | m-m, < 0.0005. Then, find the smallest eigenvalue, â,, and its corresponding eigenvector, v, of matrix A by using the shifted power method for Q3 (a)-(d). 161 Eigenvalues (2 1 0) A = 1 2 1 1 2 1 -1 (а). (b). A = -2 4 -2 0 1 -1 -1 0 -2 1 (c). A = -1 4 (d). A = -2 2 2 -2 3 II 2.arrow_forward
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