[1 2 1] Given A = 2 3 1 4 0 1] x, C =-2 1 o and D=[2 1 4]. 5 B =-2 w 3 4 2 y 3 z [-2 a (a) Find the values of a, ß and y if the inverse matrix of A is B 1 -2 (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 of0 2 0 0 0 3|

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 77E: Let A and B be square matrices of order n satisfying, Ax=Bx for all x in all Rn. a Find the rank and...
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part c and d please

[1 2 1]
Given A = 2 3 1
4 0 1]
x, C =-2 1 o and D=[2 1 4].
5
B =-2 w
3 4 2
y
3 z
[-2
a
(a) Find the values of a, ß and y if the inverse matrix of A is B
1
-2
(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 of0 2 0
0 0 3|
Transcribed Image Text:[1 2 1] Given A = 2 3 1 4 0 1] x, C =-2 1 o and D=[2 1 4]. 5 B =-2 w 3 4 2 y 3 z [-2 a (a) Find the values of a, ß and y if the inverse matrix of A is B 1 -2 (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 of0 2 0 0 0 3|
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