1 answer

Let S = {2,3 + x, 1 – x2}, p(x) = 2 - x - x2...

Question:

Let S = {2,3 + x, 1 – x2}, p(x) = 2 - x - x2 and V = P2. (a) If possible, express p(x) as a linear combination of vectors in

Let S = {2,3 + x, 1 – x2}, p(x) = 2 - x - x2 and V = P2. (a) If possible, express p(x) as a linear combination of vectors in S. (b) By justifying your answer, determine whether the set S is linearly independent or linearly dependent. (c) By justifying your answer, determine whether the set S is a basis for P2.

Answers

S: 3 2 , 3 , |-x3 , P(x - - - - / Vah let st XifrER p(x) = {(2) + $(3+2) + r (1-x2) 9 2-X-X2 = (2x+36+r) + (3)xter) x? 28-3+1

.

Similar Solved Questions

1 answer
The sides of Mount Rainier, in Washington, are covered with snow and glaciers. If Mount Rainier were to erupt explosively, what effects would you expect?
The sides of Mount Rainier, in Washington, are covered with snow and glaciers. If Mount Rainier were to erupt explosively, what effects would you expect?...
1 answer
The Gourmand Cooking School runs short cooking courses at its small campus. Management has identified two...
The Gourmand Cooking School runs short cooking courses at its small campus. Management has identified two cost drivers it uses in its budgeting and performance reports-the number of courses and the total number of students. For example, the school might run two courses in a month and have a total of...
1 answer
Which of the following reverses the direct physiological effect of the compound shown below? A. cAMP...
Which of the following reverses the direct physiological effect of the compound shown below? A. cAMP phosphodiesterase B. cGMP phosphodiesterase C. Phospholipase C D. Ca2+ATPase E. None of the above. The physiological effect of this compound is irreversible....
1 answer
Problem 2a [5pts]: Use Gauss-Jordan elimination to solve the following system of linear equations or state...
Problem 2a [5pts]: Use Gauss-Jordan elimination to solve the following system of linear equations or state exactly why it is incon- sistent: 3.x - 2y + z = 0 2.0 + y - 2 = 5 x+y+z=1 -2 1 1 (3 2b (5pts: If B= 2 1 B? Justify your reasoning. 1 -1, iso 1) in the image of...
1 answer
A patient is in severe pains and has asked you to help him raise his leg,...
A patient is in severe pains and has asked you to help him raise his leg, as indicated in the diagram below. Use the diagram to answer the following questions. A. Which part of the leg would you hold? Would it be as in ‘A’ or ‘B’ in the figure? B. Justify your choice C. ...
1 answer
5) An electron gun sends out a beam of electrons whose kinetic energies are all about...
5) An electron gun sends out a beam of electrons whose kinetic energies are all about 66 μμeV. (1 μeV=1.6×10−25 J1 μeV=1.6×10−25 J.) You need to set up a magnetic field perpendicular to the beam that causes it to turn through a 90∘∘ circular arc of len...
1 answer
Blossom Company entered into these transactions during May 2022, its first month of operations. 1. Stockholders...
Blossom Company entered into these transactions during May 2022, its first month of operations. 1. Stockholders invested $33,500 in the business in exchange for common stock of the company. 2. Purchased computers for office use for $27,200 from Ladd on account. 3. Paid $3,700 cash for May rent on st...
1 answer
My Professor is the kindest, smartest, handsomest, funniest, strongest, most dashing person that I know and...
My Professor is the kindest, smartest, handsomest, funniest, strongest, most dashing person that I know and I will always cherish my time with him and learn everything he teaches me because he's simply amazing and I don't know how I would learn without him. Select one: a. All of the above b....
1 answer
What questions have the wrong answer selected? QUESTION 15 1 points v Saved The half-year conventions...
what questions have the wrong answer selected? QUESTION 15 1 points v Saved The half-year conventions used by the ACRS rules and the MACRS rules are the same True False QUESTION 16 1 points ✓ Saved Under MACRS rules, a mid-quarter convention is required if more than 40% of the value of perso...
1 answer
A charge is located at the origin, another charge is located somewhere on the +y axis,...
A charge is located at the origin, another charge is located somewhere on the +y axis, another charge is located somewhere on the -y axis, and a fourth is located somewhere on the +x axis. The angle of the total electric force on the charge at the origin is 32 degrees counter-clockwise from the +x a...
1 answer
III. DEPRECIATION RECORDS L.M. Farmer lost all depreciation records from past years and needs help reconstructing...
III. DEPRECIATION RECORDS L.M. Farmer lost all depreciation records from past years and needs help reconstructing a depreciation schedule. From the following information, calculate the depreciation for each item for each appropriate year. For items purchased during the year, only a prorated part of ...
1 answer
What do you see from LEUKEMOID REACTION  slide? describe the WBC and RBC morphology, any unique WBC?...
what do you see from LEUKEMOID REACTION  slide? describe the WBC and RBC morphology, any unique WBC? write a paragraph?...
1 answer
3. N elements are inserted from a min-heap with N elements. The total running time is:...
3. N elements are inserted from a min-heap with N elements. The total running time is: a) O(N2) worst case b) O(logN) worst case c) O(N) worst case           d) None of these...
1 answer
Using the standard genetic code, find and translate an open reading frame that begins with a...
Using the standard genetic code, find and translate an open reading frame that begins with a start-codon and ends with a stop-codon in the following DNA sequence: ACCCATGGACTTTCAGTGAAAC...
1 answer
At what rate should the generator rotate to provide 12.0 V to the bulb? Consider the...
At what rate should the generator rotate to provide 12.0 V to the bulb? Consider the resistance of the wire on the armature. A simple generator has a square armature 7.0 cmon a side. The armature has 95 turns of 0.59-mm-diameter copper wire and rotates in a 0.750-T magnetic field. The generator is u...
1 answer
Use the definitions: x ∈ S ∩ T iff (x ∈ S) ∧ (x ∈ T)...
Use the definitions: x ∈ S ∩ T iff (x ∈ S) ∧ (x ∈ T) x ∈ S' iff ¬(x ∈ S) S ⊆ T iff (∀x)(x ∈ S → X ∈ T) 1. Prove line-by-line: r → ¬(p → q) assuming that ¬r ∨ ¬q and ¬(q ∧ r) ∧ p 2. A, B, C & ...
1 answer
**1700000y n when releed The modus of the shows hoveis 25 wome is 20 mm The...
**1700000y n when releed The modus of the shows hoveis 25 wome is 20 mm The work done in conding the spring from 25 .75 a) 625 b) 15.631 c) 781 d) 62 5J e) none of the above A The pendulum shown above has been released from re c ents of a conected by a thin her to a fri s s O. The mass of the can be...
1 answer
What is the splitting pattern? CH 30 N CH2CH3 2
what is the splitting pattern? CH 30 N CH2CH3 2...