Considere los polinomios pi(t) = 1 + 1, p2(t) = 1-1, P3(1) =
4, p4(1) = 1 + 7, y Ps(1) = 1 + 2t + 7, y sea H el subespacio
Ps generado por el conjunto S = (Pi P2. P3 P4. Ps). Utilice el
método descrito en la demostración del teorema del conjunto generador (sección 4.3) para producir una base de H. (Expli-que cómo seleccionar los elementos apropiados de S.)

Therefore, We can use the Gaussian elimination method to find the basis of H.

In linear and multilinear algebra, the procedure of Gauss elimination involves first solving one of the simultaneous linear equations for one variable (in terms of all the others) and then substituting this expression into the other equations to discover the answers.

A linear equation is an algebraic equation in which each term has an exponent of 1, which, when plotted on a graph, always yields a straight line. One example with one variable is where ax+b = 0, where a and b are fundamental values and x is the variable.

Selecting the polynomials Pi(t) = 1 + t and P2(t) = 1 - t from the set S. These are linearly independent since they cannot be written as a linear combination of the other polynomials in the set and checking if the span of Pi(t) and P2(t) is equal to H. Then expressing the remaining

polynomials P3(t), P4(t), and Ps(t) in terms of Pi(t) and P2(t) and checking if they can be written as a linear combination of Pi(t) and P2(t) or not.

P3(t) = 4 can be written as 4 * Pi(t) - 4 * P2(t)

P4(t) = 1 + 7t can be written as Pi(t) + 7 * P2(t)

Ps(t) = 1 + 2t + 7t^2 can be written as Pi(t) + 2t * P2(t) + 7 * P2(t)^2

From this, we can see that all the polynomials in S can be written as a linear combination of Pi(t) and P2(t). So, the span of Pi(t) and P2(t) equals H. Hence, { Pi(t), P2(t) } is a basis for the subspace H.

To know more about elimination method visit:

https://brainly.com/question/12090959

#SPJ1

how many years will it.take 10,000 to grow 17,800 if it is invested at 2.50% compounded continuously

In 2002, the population of a town was approximately 34,050. In 2012,
the population of the town had increased to approximately 56,800. Based
on a linear model, what will be the approximate population of the town
in 2020?
Answer choices
A. 52,250
B. 75,000
C. 79,550
D. 99,850

Find the percent of change

1970's: $0.79
2010's: $3.72

Help me pls I don't know what I'm doing ​

What is the value of
y in the equation?
2y - 3/3 - 3= 2y/5
​

Treys grandmother has a framed picture with side lengths that are 12 inches. Trey wants to know how much wall space is needed for the picture.

(a) The area of a rectangular garden is 7371 m².
If the width of the garden is 81 m, what is its length?
What is the Length of the garden:

Enter the value of 21 + (-3) - (-0.9).
PLSS

V100 is rational or irrational?​

I need the answer ASAP

1. In the figure, x is an exterior angle to the triangle below.

(a) Explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the algebra that proves this theorem.
(b) What is m

3,864,950 rounded to the nearest ten thousand

What is the value of the expression 5x – x + 8 when x = 2?

What is the distance between points (-2, -5) and (-14, 4) on the coordinate plane

•9
•12
•14
•15

The school sold 300 tickets to the theatre performance. They sold adult tickets for $9 each and student tickets for $6 each. They made a total of $2, 190. How many students were in attendance?
I need help please, I need to show work and it is due tonight.

3.- Una persona pinta el interior de un cuadrado de lado 15m, si antes de pintarlo
comete un error al medir la longitud de los lados de 0.2m, resolver por diferencial
(a).- ¿Cuál es el error máximo en el área de pintado (cuanto de diferencia de área
pinto más debido al error).​

A car dealer sells four model types: A,B,C,D. On a given week, this dealer sold 10 cars of model A, 5 of model B, 8 of model C and 3 of model D. The selling prices of each automobile are respectively $12,500, $11,800, $15,900 and $25,300.
Represent the data on the quantity sold using using matrix.

help me plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Chad measured a house and its lot and made a scale drawing.
The backyard is 17 inches long
in the drawing.
The actual yard is 68 feet long.
What scale did Chad use for the drawing?

1 inch __ feet

1. You are baking cookies to bring to school for a bake sale. You have already finished 22 cookies, and you can bake 12 at a time on your cookie sheet. If you want to bake at least 100 cookies, how many more cookie sheets do you have to bake?

The points (2, 8) and (1, 2) fall on a particular line. What is its equation in slope-intercept form?

HELP WILLING TO CASHAPP if answered quick and correctly + 100 points The points plotted below on the graph of a polynomial which of the following X values is the best approximation of a root of the polynomial? Check all that apply
X=-0.21
X=-4.6
X=-2.3
X=3
X=1
X=-3.5

If you answer these questions i will give you free point's. (Answer all of them pls)


1. I am 50% of a quarter of 32.
2. I am two thirds of 60.
3. I am exactly half-way between 25% of 80 cm and 40% of 120cm.
4. I am one-quarter of 50% of 88kg.
5. I am 3% of half of 600 pounds.
6. I am exactly halfway between one fifth of 25cm and 2% of 300 cm.
7. I am greater that 0.6 kg, less than one-third of 6 kg, and equal to four times 10% of 3kg.

Three angles in a triangle measure x°, (4x+12)° and (3x+16)°. What is the measure of the largest angle in this triangle?

The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 900900 voters in the town and found that 377% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is over 344%. Testing at the 0.020.02 level, is there enough evidence to support the strategist's claim

Sadie swam x laps in the pool. Eric swam 3/5 more than that. Write an expression for the number of laps Eric swam

What percent is represented by the region that is shaded? Exact
answers only (no rounding).

(0) A baker puts 10 kg of sugar equally into 8 bags. How much sugar is there in
each bag?​

A rectangle drawn on the coordinate plane has vertices (4, 4), (1, 8), (-7, 2) and (-4, -2). What is the area, in square units, of the rectangle?

(x^8+2x^4+1)+(2x^4+x^2+1)

Mia and her friends are planning a trip to the movies. They can go to the movies on Friday, Saturday, or Sunday, and there are 10 different movies at the theater. Which expression represents the number of different combinations of day and movie Mia and her friends can choose?