Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. a square matrix a is said to be symmetric if its t

A square matrix A is said to be symmetric if its transpose AT satisfies AT= A,...

60.1K

Verified Solution

Question

Advance Math

A square matrix A is said to be symmetric if its transposeAT satisfies AT= A, and a
complex-valued square matrix A is said to be Hermitian if itsconjugate transpose AH =
(A)T = AT satisfies AH = A. Thus,a real-valued square matrix A is symmetric if and
only if it is Hermitian. Which of the following is a vectorspace?
(a) The set of all n xn real-valued symmetric matrices overR.
(b) The set of all n xn complex-valued symmetric matrices overC.
(c) The set of all nx n complex-valued Hermitian matrices overR.
(d) The set of all n xn complex-valued Hermitian matrices overC.
For each case, either verify that it is a vector space or proveotherwise.

Answer & Explanation Solved by verified expert
4.3 Ratings (749 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Accounting
1.2K views

What does independence mean in an auditing context? Compare andcontrast in fact and in...

Finance
1.2K views

Book Name: Principles of Managerial Finance - 180 Day Option, 14th Edition Lawrence J. Gitman P2–5 Interest versus...

General Management
1.2K views

Detecting Red Flags is important as the internal controls mechanism should define a specific approach for...

Biology
1.2K views

Match the type of chemical bond with its description V Polar covalent bond Nonpolar covalent...

Physics
1.2K views

A biconvex thin lens is prepared from glass 1 5 the two bounding surfaces having...

Physics
1.2K views

a Draw graphs showing the variations of inductive reactance and capacitive reactance with frequency of...

Physics
1.2K views

A uniform electric filed exists only in x y plane When a student moves a...

Basic Math
1.2K views

A runner jogs 7 mi east then 3 mi south What is the bearing from...

Accounting
1.2K views

During 2024, a company sells 290 units of inventory for $91 each. The...

Accounting
1.2K views

One Product Corporation (OPC) incorporated at the beginning of last year. The balances on its...

Finance
1.2K views

Red Herring will receive $11,000 a year for the next 18 years as a result...

Finance
1.2K views

Project S requires an initial outlay at t=0 of $20,000, and its expected cash flows...