A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
if a diagonal matrix is commutative with every matrix of the same order,then it is necessarily a ______ matrix
a. zero matrix
b. unit matrix
c. scalar matrix
d. a symmetric matrix
the ans is c... please explain how?... @Mathematics
anonymous
 3 years ago
if a diagonal matrix is commutative with every matrix of the same order,then it is necessarily a ______ matrix a. zero matrix b. unit matrix c. scalar matrix d. a symmetric matrix the ans is c... please explain how?... @Mathematics

This Question is Open

AravindG
 3 years ago
Best ResponseYou've already chosen the best response.0Consider a general diagonal matrix to be A=[a 0,0,b] and other matrix B=[w x , y z] then compute AB then BA and then equate both which will you a=b which is a scalar matrix ....

LastDayWork
 3 years ago
Best ResponseYou've already chosen the best response.0Multiplication with an identity matrix is commutative. As every scalar matrix can be written as a product of a scalar and the Identity matrix, most appropriate answer is (c) part. PS: The property will be satisfied by option (a) and (b) also. Every diagonal matrix is a symmetric matrix.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.