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: 76% (13 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.
-
Direct contact with customers. Employees and customers interact directly to provide and purchase the service. Production and consumption are simultaneous. Service firm employees have direct contact...
-
Do you think your degree equipped you to become a manager? LO.1
-
Tucson, a U.S. corporation organized in Year 1, reports the following items for a three-year period. The foreign source and worldwide taxable income items are determined under U.S. law. a. What is...
-
1) ABC Company began a new business on January 1, 2013 and made the following purchases and sales during the year. 1-1-13 500 paintings @$7 4-9-13 200 paintings @$8 6-14-13 300 paintings @$9 9-19-13...
-
For the CMOS operational amplifier shown in Fig. 9.60, calculate the open-loop voltage gain, unity gain bandwidth, and slew rate. Assume the parameters of Table 2.1 with X d = 1 µm. Assume that...
-
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?
-
The budget for the University Printing Company for 2007 follows. The company typically uses a so-called cost-plus pricing system. Direct material and direct labour are computed, overhead is added at...
-
Financial strength can be defined as the capacity to produce enough cash flows and earnings to pay creditors, investors, and other debts, as well as to cover expenses. Even though sales by themselves...
-
The RMS Titanic was the most technologically advanced liner in the world in the year 1912. At 11:40pm or Sunday, April 14 of that year, the Titanic struck an iceberg and sank in less than three...
-
1. A management consultant is hired by a manufacturing firm to determine the best site for its next production facility. The consultant has had several meetings with the company's senior executives...
-
The figure below shows that a pump is used to transfer water from a reservoir at ground level to a storage take that is elevated. The pump is located 10 ft above the water surface of the reservoir...
-
P6-3 (Algo) Comparing and Contrasting the Effects of Inventory Costing Methods on Financial Statement Elements LO6-2, 6-3 Neverstop Corporation sells item A as part of its product line. Information...
-
Evaluate the integral using the methods covered in the text so far. cos(In t) dt t S
-
What are technical skills At what level are they most important and why?
-
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
-
Suppose Universal Forests current stock price is $59.00 and it is likely to pay a $0.57 dividend next year. Since analysts estimate Universal Forest will have a 13.8 percent growth rate, what is its...
-
ABC Company engaged in the following transaction in October 2 0 1 7 Oct 7 Sold Merchandise on credit to L Barrett $ 6 0 0 0 8 Purchased merchandise on credit from Bennett Company $ 1 2 , 0 0 0 . 9...
-
1. Use the Excel file Asset Allocation Data to determine the following: a.Variances for the individual assets b. Standard deviations for the individual assets c.Covariances between each pair of...
Study smarter with the SolutionInn App