3) The following 6 by 6 matrix has 4's down its leading diagonal, and -1's down each of the off diagonals. M = 0 0 0 0 -1 4 -1 0 0 0 0 -1 4-1 0 0 0 0-1 4-1 0 0 0 0-1 4-1 00 0 0-1 4 4-1 max Set matlab up to generate a 6C by 6C matrix having the same structure as the matrix in the previous question. Calculate the sum and the product of its eigenvalues. Set up a 6 element column vector f such that the value in row n of f is (2/n)/B and then solve the system Ma = f of simultaneous equations for the column vector z. Enter the maximum and minimum entries of a in the boxes. sum- min . product-
3) The following 6 by 6 matrix has 4's down its leading diagonal, and -1's down each of the off diagonals. M = 0 0 0 0 -1 4 -1 0 0 0 0 -1 4-1 0 0 0 0-1 4-1 0 0 0 0-1 4-1 00 0 0-1 4 4-1 max Set matlab up to generate a 6C by 6C matrix having the same structure as the matrix in the previous question. Calculate the sum and the product of its eigenvalues. Set up a 6 element column vector f such that the value in row n of f is (2/n)/B and then solve the system Ma = f of simultaneous equations for the column vector z. Enter the maximum and minimum entries of a in the boxes. sum- min . product-
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
Problem 41EQ:
In general, it is difficult to show that two matrices are similar. However, if two similar matrices...
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