Prove that if S is a subspace of R1 either S = {0} or S = R1.
Question:
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 63% (11 reviews)
Let S 0 be a subspace of R 1 and let a be an arbi...View the full answer
Answered By
Mugdha Sisodiya
My self Mugdha Sisodiya from Chhattisgarh India. I have completed my Bachelors degree in 2015 and My Master in Commerce degree in 2016. I am having expertise in Management, Cost and Finance Accounts. Further I have completed my Chartered Accountant and working as a Professional.
Since 2012 I am providing home tutions.
3.30+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
Prove that the image of a span equals the span of the images. That is, where h: V W is linear, prove that if S is a subset of V then h([S]) equals [h(S)]. This generalizes Lemma 2.1 since it shows...
-
Show that a linear function maps subspaces to subspaces, and vice versa. That is, if S is a subspace of X, then f (S) is a subspace of Y; if T is a subspace of Y, then f-1(T) is a subspace of X.
-
If S is a subspace of a vector space V, then S is a vector space.
-
What steps have been taken in the EU to provide lighter accounting regulation for micro-entities?
-
Compute the face value of a 30-year fixed-rate mortgage with a monthly payment of $1,100, assuming a nominal interest rate of 9%. If the mortgage requires 5% down, what is the maximum house price?
-
The following accounts were taken from the charts of accounts of a retailer, a bank, and/or a chemical company: Cash..............Property and Equipment Research and Development Expense... Dividends...
-
A process design for the disproportionation of toluene to benzene and the xylene isomers is being completed. Your assistance is needed on the design of the liquid separation section. It has been...
-
Refer to the data in S10-8. Using only year-end figures rather than averages, compute the following for Ridgeview Employment Services: a. Net income b. Total liabilities c. Total assets (use the...
-
Sheridan.com sells 6700 units of its product for $490 each. The selling price includes a one-year warranty on parts. It is expected that 3% of the units will be defective and that repair costs will...
-
An interval-level measure was obtained on a sample of four cases. Their raw scores were 21, 18, 12, and 9. Calculate s 2 .
-
Let S be the vector space of infinite sequences defined in Exercise 15 of Section 1. Let So be the set of {an} with the property an 0 as n . Show that So is a subspace of S.
-
Let A be an n n matrix. Prove that the following statements are equivalent. (a) N(A) = {0}. (b) A is nonsingular. (c) For each b Rn, the system Ax = b has a unique solution.
-
In problem 15.1, if the annual carrying cost is 18% per unit, what will be the annual savings in carrying cost? In problem 15.1 A company carries 10 items in stock, each with an economic order...
-
On May 1, 2015, Casico Toy Inc. purchased a new piece of equipment that cost $52,000. The estimated useful life is five years and the estimated residual value is $4,000. During the five years of...
-
16 Divide: 21 112 -19
-
(within the last 5 years) article that discusses material misstatements with long-lived assets 1. Please explain the ethical effects of this misstatement 2. what procedures would have prevented the...
-
On January 1, 2020, Hot Fuss Corp. purchased a building for $900,000, with the intention of leasing it. The building is expected to have a 20 year life, no residual value, and will be depreciated on...
-
Topic:Energy in Green Building.Answer following questions. Introduction to the technology - what does it do - what industries and what companies use it? Outline the drivers of why the technology was...
-
The T-Shirt Trends Company purchased a delivery truck on October 12, 2009, at a cost of $78,900. The delivery truck has an estimated useful life of three years and an estimated disposal value of...
-
What kind of rays are X-rays?
-
In each part, a translation will put the conic in standard position. Name the conic and give its equation in the translated 7 coordinate system. (a) 9x2 + 4y2 - 36x - 24y + 36 = 0 (b) y2 - 8x - 14y +...
-
Prove Theorem 9.7.1. Theorem 9.7.1 Principal Axes Theorem for ft3 Let ax2 + by2 + cz2 + 2dxy + 2exz + 2fyz + gx + hy + iz + j = 0 be the equation of a quadric Q, and let xTAx = ax2 + by2 + cz2 + 2dxy...
-
In Exercise 4, identify the trace in the plane z = l in each case. Exercise 4 Name the following quadrics. (a) 36x2 + 9y2 + 4z2 - 36 = 0 (b) 2x2 + 6y2 - 3z2 = 18 (c) 6x2 - 3y2 - 2z2 - 6 = 0 (d) 9x2 +...
-
Discuss the cultural differences between China and the United States. What would be the biggest adjustments I might need to make if working there as an expatriate? What are the most...
-
In her Ted talk, Kristi Rogers talks about the future of advertising and why it's crucial for ads to be relevant. She points out that even though we have lots of data and technology for digital ads,...
-
Consider ways in which an employer can make an employee feel like part of the team and/or empower them to act. More specifically, please respond to the following questions: How can an employer work...
Study smarter with the SolutionInn App