Prove that similarity preserves determinants and rank. Does the converse hold?
Question:
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 72% (11 reviews)
We must show that if two matrices are similar then they have the same determinant and the same rank ...View the full answer
Answered By
Muhammad Salman Alvi
Well, I am a student of Electrical Engineeing from Information Technology University of Punjab. Just getting into my final year. I have always been good at doing Mathematics, Physics, hardware and technical subjects. Teaching profession requires a alot of responsibilities and challenges.
My teaching experience started as an home tutor a year ago. When I started teaching mathematics and physic subjects to an O Level student. He was about 14 years old. His name was Ibrahim and I used to teach him for about 2 hours daily. Teaching him required a lot of patience but I had to be polite with him. I used to give him a 5 min break after 1 hour session. He was quite weak in basic maths and calculation. He used to do quite a lot of mistakes in his homework which I gave him weekly. So I decided to teach him basics from scratch. He used to say that he got the concept even if he didn't. So I had to ask him again and again. I worked on his basics for a month and after that I started taking a weekly test sesions. After few months he started to improve gradually. Now after teaching him for about a year I can proudly say that he has improved alot. The most important thing was he managed to communicate all the difficullties he was facing. He was quite capable and patient. I had a sincere desire to help him reach to its full potential. So I managed to do that. We had a very good honest relationship of a student and a teacher. I loved teaching him as a tutor. Now having an experience of one year teaching I can read students quite well. I look forward to work as an online tutor who could help students in solving their all sort of difficulties, problems and queries.
4.90+
29+ Reviews
43+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
Does similarity preserve sums?
-
Prove that does not exist but that lim cos( 1/x)
-
Square matrices are similar if they represent the same transformation, but each with respect to the same ending as starting basis. That is, RepB1,B1 (t) is similar to RepB2,B2 (t). (a) Give a...
-
A solid cubical block of side length 0.6 m is suspended from a spring balance. When the block is in water, the spring balance reads 80% of the reading when the block is in air. Determine the density...
-
Explain one harm associated with unexpected inflation that is not associated with expected inflation. Then explain one harm associated with both expected and unexpected inflation.
-
Why are banks singled out for special attention in the financial system?
-
One study examined the personal values of 116 students studying mortuary science with the intention of becoming funeral directors (Shaw \& Duys, 2005). The students completed a well-established...
-
Numerous studies have shown that watching too much television hurts school grades. Others have argued that television is not necessarily a bad thing for children (Mail Online, July 18, 2009). Like...
-
What are the advantages and disadvantages of organizing a business as a corporation? 2. How does a partnership differ from a limited liability company? 3. Why do corporates file for bankruptcy? 4....
-
The Chewy Candy Company would like to determine an aggregate production plan for the next six months. The company makes many different types of candy but feels it can plan its total production in...
-
Consider a matrix representing, with respect to some B,B, reflection across the x-axis in R2. Consider also a matrix representing, with respect to some D,D, reflection across the y-axis. Must they be...
-
Is there a matrix equivalence class with only one matrix similarity class inside? One with infinitely many similarity classes?
-
Construct a scatter plot of the paired mother/daughter heights. What does the result suggest? Use the following heights (in.) of mothers, fathers, and their adult daughters. The data are matched so...
-
a) Calculate Financial Ratios (any 12 ratios) of year 2014 and 2013 on the basis of the Balance sheet and Income Statement? b) Using Common size and Index analysis, Evaluate the company's financial...
-
Briefly explain what you found interesting or challenging from the passage? What do we forget when we talk through machines? We are tempted to forget the importance of face-to-face conversation,...
-
According to you, how did the interview go? What do you think might be the outcome of the interview and why? Please explain with examples and suggest next steps in the selection process that would...
-
What symmetry elements does this compound have: Tetrabromopalladinate (PdBr) (planar) As this compound is planar, what is the molecular geometry around the palladium atom? Therefore, what is the...
-
Suppose that you have collected the following data from a process to establish-chart (x-bar-chart) and an R-chart, where each sample has three observations. Sample Number 1 2 1 11 11.2 Observations 2...
-
In Exercises convert from radians to degrees or degrees to radians. /3
-
On July 1, 2011, Flashlight Corporation sold equipment it had recently purchased to an unaffiliated company for $480,000. The equipment had a book value on Flashlights books of $390,000 and a...
-
Show that if P is a symmetric permutation matrix then P2k = I and p2k+1 = p.
-
Show that if U is an n x n orthogonal matrix then u1uT1 + u2uT2 + + unuTn = I
-
Let (a) Show that {u1, u2, u3} is an orthonormal basis for R3. 1 1-0 LI
-
Company name is Walmart, Inc. here is the link https://www.sec.gov/ix?doc=/Archives/edgar/data/104169/000010416923000020/wmt-20230131.htm Overview 1. The financial statements for your company are...
-
Congress would like to increase tax revenues by 19 percent. Assume that the average taxpayer in the United States earns $54,000 and pays an average tax rate of 15 percent. Required: a. If the income...
-
Best Solutions is a retail merchandiser selling computer equipment. Best uses the gross method of accounting for inventory purchases and sales, a perpetual inventory system with LIFO inventory...
Study smarter with the SolutionInn App