A matrix of the form aIn, where a is a number, is called an n n
Question:
Show that A is a scalar matrix if it commutes with every n × n matrix.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 28% (7 reviews)
If n 1 it is clear If n 1 Exercise 6d gives aqr Ip...View the full answer
Answered By
Akash Goel
I am in the teaching field since 2008 when i was enrolled myself in chartered accountants course
Since then i have an experience of teaching of class XI, XII, BCOM, MCOM, MBA, CA CPT.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
Example 1.4 shows that the only matrix similar to a zero matrix is itself and that the only matrix similar to the identity is itself. (a) Show that the 1 1 matrix whose single entry is 2 is also...
-
Let A be a matrix of the form where α and β are fixed scalars not both equal to 0. (a) Explain why the system must be inconsistent. (b) How can one choose a nonzero vector b...
-
Show that if A is a matrix of the form then A must be defective. Ola 0a0 a)0
-
In the dynamic and expanding urban environment of "Slothsberg", a new highway ("Snailpace Highway") is to be constructed over the existing "Dillydally Highway". The following conditions apply to the...
-
Using the audit risk model, state the effect on control risk, inherent risk, acceptable audit risk, and planned evidence for each of the following independent events. In each of the events a to j,...
-
Why should employees be involved and what should they be involved in? LO3
-
Will I be able to give examples of having taken on some leadership responsibility (even for a project)? LO.1
-
A local symphony association offers memberships as follows: Continuing membership, per year $ 15 Patron lifetime membership 375 The patron membership has been based on the symphony association's...
-
Find the Macaulay duration and the modified duration of a 15-year, 8.0% corporate bond priced to yield 6.0%. According to the modified duration of this bond, how much of a price change would this...
-
Write a paragraph explaining what is meant by the statement "Systems engineering is focused on the system as a whole." State what characteristics of a system you think this statement implies, and how...
-
Let Ipq denote the n n matrix with (p, q)-entry equal to 1 and all other entries 0. Show that: If A = [aij], then Ipq AIrs = aqrIps all p, q, r, and s.
-
Compute the determinants of the following matrices. (a) (b) (c) (d) (e) (f) (g) (h) 2 6 a+1 a 3.50 023 2-0 0d0 ace bc0 40 1010 3632 0201 1214 1221 3021 1112 4301 Obqt
-
Refer to the information for Comfy Fit Company above. Assume that a maximum of 40,000 units of each sweatshirt can be sold. Comfy Fit Company manufactures two types of university sweatshirts, the...
-
The relevance ( Relevance ) and the reliability ( Reliability ) represent two characters Key qualitative statistics of information n accountant. What What do these two mean? terms in an accounting...
-
A virtual memory system has a page size of 1024 bytes, six virtual pages, and five physical page frames. The page table is shown in Table Q2(d) as follows: Virtual Page Number (VPN) 0 Page Frame...
-
31. z = x + 2xy, determine which of (I)-(II) in Figure 12.31 are cross- sections with x fixed and which are cross-sections with y fixed. (1) (11) -2 -2+
-
WHAT DOES SOCIETY EXPECT FROM ORGANIZATIONS AND MANAGERS? Introduction: TOMS Shoes has a unique idea to promote corporate social responsibility. For each pair of shoes it sells, it donates a pair to...
-
1. A car heading east turns right at a corner. The car turns at a constant speed of 20.0 m/s. After 12 s, the car completes the turn, so that it is heading due south at 20.0 m/s. Calculate the car's...
-
For a reaction of the form A + B C + D, and starting from an initial reaction mixture containing equal amounts of A and B, show that (a) 99.999% of the reactants are consumed if K = 10 10 and (b)...
-
Swifty company is a publicly held corporation whose $1 par value stock is actively traded at $30 per share. The company issued 3400 shares of stock to acquire land recently advertised at $93000. When...
-
If A is an n n matrix whose eigenvalues are all nonzero, then A is nonsingular. In the case of a true statement, explain or prove your answer. In the case of a false statement, give an example to...
-
If A is an n n matrix, then A and AT have the same eigenvectors. In the case of a true statement, explain or prove your answer. In the case of a false statement, give an example to show that the...
-
If A is a 4 4 matrix of rank 3 and = 0 is an eigenvalue of multiplicity 3, then A is diagonalizable. In the case of a true statement, explain or prove your answer. In the case of a false statement,...
-
Aecerty 1067687 was completed with the folowing charaderistick Murulectere sec00 5xs:99 s35ida sputed
-
Assume todays settlement price on a CME EUR futures contract is $1.3180 per euro. You have a long position in one contract. EUR125,000 is the contract size of one EUR contract. Your performance bond...
-
Q2. Company ABC bought an equipment for $20,000 in 2015, with useful life of 5 years $5,000 residual value amortized using straight-line method. Prepare a table to illustrate the differences...
Study smarter with the SolutionInn App