If A is an n x n matrix and the transformation x Ax is one-to-one, what
Question:
If A is an n x n matrix and the transformation x → Ax is one-to-one, what else can you say about this transformation? Justify your answer.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 55% (9 reviews)
Since the transformation x Ax is onetoone statemen...View the full answer
Answered By
Muthyala Saipavan
First of all, let me introduce myself, I am Muthyala Saipavan, I have gained my bachelor's degree in mechanical engineering from NIT Agartala in India with percentage of 82.9. Since childhood, I scored 9.7 CGPA in my 10th standard and I scored 98.5 percentage in my 12th standard and I was the school topper.
I have always been interested to share my knowledge, during my graduation I used to take tuitions for 12th standard students at my place, that's when I got a lot of interest in teaching students and guiding them. When my students used to do good in academics it was really a special feeling.
I also did many internships and trainings during my 4 years of graduation to explore my subject even more and I did a research internship from IIT Guwahati and also DRDO. These internships helped me enhancing my practical skills in my subject mechanical Engineering.
After completion of my graduation, I worked as a subject matter expert in mechanical engineering at Six red marbles for 6 months and I have been working as a tutor in Chegg India for past 10 months. I want to share my knowledge through different platforms, I recently came across Solutioninn and I have heard that it is the best platform to work as a tutor. So I am applying for solutioninn. If I get selected i will put my maximum efforts to satisfy the students with my knowledge and experience.
0.00
0 Reviews
10+ Question Solved
Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
Question Posted:
Students also viewed these Mathematics questions
-
If A is an n x n matrix and the equation Ax = b has more than one solution for some b, then the transformation x Ax is not one-to-one. What else can you say about this transformation? Justify your...
-
If A is an n x n matrix, then A is called nilpotent if Ak = O for some positive integer k. (a) Prove that every nilpotent matrix is singular. (b) Verify that is nilpotent. (c) If A is nilpotent,...
-
If A is an n n matrix with the property Ax = 0 for all x Rn, show that A = O.
-
Hot Locks Company developed the following information for its hair dryer sales: Sales price $ 125.00 per unit Variable manufacturing cost $ 44.75 per unit Variable selling expense ...
-
Branca Inspections Inc. specializes in determining whether a building or houses drainpipes are properly tied into the citys sewer system. The company pours colored chemical through the pipes and...
-
Data for Barry Computer Co. and its industry averages follow. a. Calculate the indicated ratios for Barry. b. Construct the DuPont equation for both Barry and the industry. c. Outline Barrys...
-
Which of the following prevents a company from switching its inventory costing method to a different method each year? a. Disclosure principle b. Consistency principle C. Matching principle d....
-
Draw a decision tree depicting the reimbursement policy in Problem 1.
-
3. [-/1 Points] DETAILS MY NOTES LARPCALC11 10.2.014. Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin. Focus (-3.5, 0) -5 y 10 X The...
-
The City of Smithville created a Street Improvement Bond Debt Service Fund to be used to retire the bonds issued for the purposes described in Chapter 5 of this cumulative problem, and to pay the...
-
Suppose A is an n x n matrix with the property that the equation Ax = 0 has only the trivial solution. Without using the Invertible Matrix Theorem, explain directly why the equation Ax = b must have...
-
Let T: R n R n be an invertible linear transformation. Explain why I is both one-to-one and onto R". Use equations (1) and (2). Then give a second explanation using one or more theorems.
-
The United States Patent and Trademark Office rejects claims for perpetual motion machines (in which energy output is as great or greater than energy input) without even investigating them. Why is...
-
A particular cyclist can produce an average power output of \(180 \mathrm{~W}\) when cycling on level ground. While doing this, their speed is \(9.5 \mathrm{~m} / \mathrm{s}\). What is the magnitude...
-
Describe how a premarital agreement might influence whether or not a spouse obtains alimony.
-
Define and distinguish between legal and physical custody.
-
Describe the accounting treatment for a forward exchange contract where there is no hedging relationship.
-
Describe the nature of a parenting plan and indicate how it differs from a more traditional custody provision in a separation agreement.
-
Evaluate Mazda's decision to drop the "Get In. Be Moved' tagline for the Protegé and adopt the "Zoom-Zoom" theme for its advertising.
-
What is removed during each of the three stages of wastewater treatment: primary, secondary, and tertiary? During which state would you expect items to be recovered that were accidentally flushed,...
-
Provide a point and interval estimate (95% CI) for the interlaboratory standard deviation of mean zone diameters for each type of control strain, assuming each laboratory uses different media to...
-
Answer Problem 6.20 assuming each laboratory uses a common medium to perform the susceptibility tests? Microbiology A nine-laboratory cooperative study was performed to evaluate quality control for...
-
Are there any advantages to using a common medium versus using different media for performing the susceptibility tests with regard to standardization of results across laboratories? Microbiology A...
-
When we speak about project financing, which is the purspose of the Liquidity ratios? What do they determine and which are the main ones which should be considered?
-
DRAW a motion graph in the space provided that correctly matches the following story, remember to LABEL your X and Y axis with correct units - The Jackson family is going on a road trip to Florida....
-
1. 23 2. 3. 4. What is the present value of the firm's daily net sales? What is the firm's daily cost of goods sold? What is the present value of the firm's daily G&A expense? What is the net present...
Study smarter with the SolutionInn App