Г1 2 1 Given A = 2 3 1 4 0 17 x, C =|-2 1 0 and D=[2 1 4]. |-2 0 1 5 В - -2 w 3 4 2 y 3 -2 a (a) Find the values of a,ß and y if the inverse matrix of A is B 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 0 3 (e) Compute A-C, A+D, AD, DC and D².
Г1 2 1 Given A = 2 3 1 4 0 17 x, C =|-2 1 0 and D=[2 1 4]. |-2 0 1 5 В - -2 w 3 4 2 y 3 -2 a (a) Find the values of a,ß and y if the inverse matrix of A is B 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 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
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 22EQ: Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be...
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Part e please
![4 0 1]
[1 2 17
Given A= 2 3 1
3 4 2
5]
C= -2 1 0 and D=[2 1 4].
|-2 0 1|
В 3D - 2 w
y
3 z|
-- 2
(a) Find the values of a, ß and y if the inverse matrix of A is B
a
1
-1
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 of 0 2 0
0 0 3
(e) Compute A-C, A+D, AD, DC and D².](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0355d062-8ef0-4c5f-ae14-0f57f1681997%2F57d91525-dca5-4df6-9008-875d7809b275%2F9kvw49tz_processed.png&w=3840&q=75)
Transcribed Image Text:4 0 1]
[1 2 17
Given A= 2 3 1
3 4 2
5]
C= -2 1 0 and D=[2 1 4].
|-2 0 1|
В 3D - 2 w
y
3 z|
-- 2
(a) Find the values of a, ß and y if the inverse matrix of A is B
a
1
-1
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 of 0 2 0
0 0 3
(e) Compute A-C, A+D, AD, DC and D².
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