1 2 1 4 и Given A=2 3 1, B=|- 2 x, C= -2 1 0 and D=[2 1 4]. 3 4 2 y 3 |-2 0 1 -2 a 1 (a) Find the values of a, ß and y if the inverse matrix of A is B -1 1 2 1 (b) Find the possible values of u, v, w, x, y and z if B is a symmetric matrix. (c) Find all the eigenvalues of C. [1 0 0 (d) Determine whether or not C is similar to the diagonal matrix of 0 2 0 0 3 (e) Compute A-C, A+D, AD, DC and D².

1 2 1 4 и Given A=2 3 1, B=|- 2 x, C= -2 1 0 and D=[2 1 4]. 3 4 2 y 3 |-2 0 1 -2 a 1 (a) Find the values of a, ß and y if the inverse matrix of A is B -1 1 2 1 (b) Find the possible values of u, v, w, x, y and z if B is a symmetric matrix. (c) Find all the eigenvalues of C. [1 0 0 (d) Determine whether or not C is similar to the diagonal matrix of 0 2 0 0 3 (e) Compute A-C, A+D, AD, DC and D².

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 40EQ

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