a. If A commutes with a b [86] 0 a A = 0 1 [8]. 0 for some a and b. A = b. If A commutes with - [aa] C 00 [88]. 10 for some a and c. show that if and only if A = show that c. Show that A commutes with every 2 x 2 matrix - [8] for some a.
a. If A commutes with a b [86] 0 a A = 0 1 [8]. 0 for some a and b. A = b. If A commutes with - [aa] C 00 [88]. 10 for some a and c. show that if and only if A = show that c. Show that A commutes with every 2 x 2 matrix - [8] for some a.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Answer c.
![Exercise 2.3.6 Let A be a 2 x 2 matrix.
a. If A commutes with
a b
A = [ 8 % ]
a
b. If A commutes with
A= =
a
C
:]
a
[8]
for some a and b.
, show that
9
if and only if A =
00
[i], sho
show that
for some a and c.
c. Show that A commutes with every 2 x 2 matrix
a 0
= [82]
for some a.
a](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca54911f-4c33-48b6-9518-41b412a01cf9%2Fc33c154c-10a0-480d-b7ae-9ebb05d96f68%2Fkcs8m6o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise 2.3.6 Let A be a 2 x 2 matrix.
a. If A commutes with
a b
A = [ 8 % ]
a
b. If A commutes with
A= =
a
C
:]
a
[8]
for some a and b.
, show that
9
if and only if A =
00
[i], sho
show that
for some a and c.
c. Show that A commutes with every 2 x 2 matrix
a 0
= [82]
for some a.
a
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