Let a and b denote distinct numbers. Show that {(x - a)2, (x - a)(x - b),
Question:
Show that {(x - a)2, (x - a)(x - b), (x - b)2} is a basis of P2.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 87% (16 reviews)
If rx a 2 sx ax b tx b 2 0 then taking x a gives ta b 2 0 s...View the full answer
Answered By
Lamya S
Highly creative, resourceful and dedicated High School Teacher with a good fluency in English (IELTS- 7.5 band scorer) and an excellent record of successful classroom presentations.
I have more than 2 years experience in tutoring students especially by using my note making strategies.
Especially adept at teaching methods of business functions and management through a positive, and flexible teaching style with the willingness to work beyond the call of duty.
Committed to ongoing professional development and spreading the knowledge within myself to the blooming ones to make them fly with a colorful wing of future.
I do always believe that more than being a teacher who teaches students subjects,...i rather want to be a teacher who wants to teach students how to love learning..
Subjects i handle :
Business studies
Management studies
Operations Management
Organisational Behaviour
Change Management
Research Methodology
Strategy Management
Economics
Human Resource Management
Performance Management
Training
International Business
Business Ethics
Business Communication
Things you can expect from me :
- A clear cut answer
- A detailed conceptual way of explanation
- Simplified answer form of complex topics
- Diagrams and examples filled answers
4.90+
46+ Reviews
54+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
Let A and B denote invertible n x n matrices. (a) If A-1] = B], does it mean that A = P? Explain. (b) Show that A = B if and only if A-1B = I.
-
Let A and B denote n x n invertible matrices. (a) Show that A-1 + B-1 =A-l(A + B)B-l. (b) If A + B is also invertible, show that A-l + B-1 is invertible and find a formula for (A-1 + B-1)-1.
-
Let A and B denote invertible nxn matrices. Show that: (a) adj (A-1) = (adj A)-1 (b) adj (AB) = (adj B)(adj A)
-
Derek and Wes take a photograph of a lake at the same angle and the same time of day. Derek's picture comes out with crisp edges around objects in the photo. Wes's picture seems to blur the outlines...
-
What five circumstances are required for a standard unqualified report to be issued?
-
Find the charge on the capacitor in an LRC-series circuit when L = h, R = 10, C = 0.01 f, E(t) = 150 V, q(0) = 1 C, and i(0) = 0 A. What is the charge on the capacitor after a long time?
-
I want sales representatives who can stand on their own. Once they have been through training and show how to apply their knowledge, it shouldnt be necessary for me to constantly tell them how they...
-
Assume the following financial data for Rembrandt Paint Co. and Picasso Art Supplies: a. If all the shares of Rembrandt Paint Co. are exchanged for those of Picasso Art Supplies on a share-for-share...
-
c. Use a rectangular array of base-ten pieces to illustrate the quotient. Label the components of the (generic) sketch and answer the questions. Assume the quotient is the top of the array. i) The...
-
A survey of 1,520 Americans adults asked, Do you feel overloaded with too much information? The results indicated that of 785 males, 134 answered yes. Of 735 females, 170 answered yes. Source: Data...
-
Can four vectors span R3? Can they be linearly independent? Explain.
-
Let a and b be two distinct numbers. Assume that n 2 and let Un = {f(x) in Pn | f(a) = 0 = f(b)}. Show that dim Un = n - 1.
-
SVC is a car manufacturer. SVC is planning the development of a prototype hydrogen-powered car, the Model Q. The prototype Model Q car will have a limited production run of 250 cars. To ensure that...
-
The North Carolina Education Lottery has a drawing for the PowerBall twice a week and each ticket costs $2. Chris considers buying a ticket for every drawing. At 4 weeks per month, he would be...
-
Choice Manufacturing has received an offer from swag inc. to purchase 2,000 units of its standard product at a price of $39 per unit. choices current production and sales is as follows: Units...
-
Martin s Enterprise has been experiencing difficulties with respect to the competitiveness of the price that it charges to consumers. In January 2 0 2 1 , a market research team used demand and...
-
What is the market structure? give an example and the characteristics of each type of structure.
-
Help Yourself (H Y) was incorporated as a not-for-profit education organization with a December 31 year-end. HY reports to a government agency that requires audited annual financial statements to be...
-
What are the responsibilities of the directors and auditors in relation to the OFR?
-
You continue to work in the corporate office for a nationwide convenience store franchise that operates nearly 10,000 stores. The per- store daily customer count (i.e., the mean number of customers...
-
Show that the linear system obtained by adding a multiple of an equation in (2) to another equation is equivalent to (2).
-
Describe the number of points that simultaneously lie in each of the three planes shown in each part of Figure 1.2.
-
Let C1 and C2 be circles in the plane. Describe the number of possible points of intersection of C1 and C2. Illustrate each case with a figure.
-
How does the concept of intersectionality, as developed by Kimberl Crenshaw, challenge traditional understandings of identity and social categorization by highlighting the interconnectedness and...
-
To what extent does intersectional scholarship inform policy-making and advocacy efforts aimed at addressing social disparities and promoting equity and justice for marginalized communities ?
-
How can intersectionality contribute to building solidarity and fostering coalitions across diverse social movements, while also recognizing and respecting the distinctiveness of different...
Study smarter with the SolutionInn App