Let Poly2 denote the vector space of polynomials

(with real coefficients) of degree less than 3.

Poly2 = {a1t^2+ a2 t+ a3 |a1; a2; a3 €R}

You may assume that {1,t; t^2}is a basis for Poly2.

(1) Show that L1 = {t^2 + 1; t-2 ; t + 3}and L2 = {2 t^2 + t; t^2 + 3; t}

are bases for Poly2.

(2) Let v = 8t^2- 4t + 6 and w = 7t^2- t + 9. Find the coordinates for

v and w with respect to the basis L1 and with respect to the basis L2

(3) find the coordinate change matrix P from the basis L1 to the basis L2.find P^-1

Just I answer part (1) can you help me to answer 2 and 3

let A be a matrix=

[ 7 7 9 -17

6 6 1 -2

-12 -12 -27 1

7 7 17 -15 ]

What is the reduced row echelon form of A?

What is the rank of A?

A consistent system of linear equations in 14 unknowns is reduced to row echelon form. There are then 10 non-zero rows (i.e. 10 pivots). How many parameters (free variables) will occur in the solution?

Hello, I am a student typing up my homework assignments with maple, and I am takinng Inferential Statistics. I can't figure out how to make the bar over a variable, so I can note the average. It is just a line over a letter. Kind of when notating a vector without the arrow. It would be very helpful because I can't figure out how to make that symbol, it is not listed on the symbols list on the left side.

Thanks!

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Please is there any 1 to help.

Hey,

I am trying to write a single procedure to find the root of any function using the Newton-Raphson method, given the initial approximation and the tolerance. If this fails to converge, the program must then use the Bisection method to find the root. Need some help please. The current procedure i have done is only coming out with the first Iteration

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Using the Fourier convolution theorem to solve f(t) =sin (t)

f(t)=R dJ(t)/dt+J(t)/C

R dJ(t)/dt+J(t)/C=f(t)

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Find the transfer function G(alpha) then find g(t) .

Thanks ....

Hi,

Please I need you to add in the output of my code the order of error defined in the procedure.

Thanks for helping me.

Here, the code.

QuestionNumber2.mw

question_4.pdf

I am reciving an error code when trying to graph the right circular cylinder in the questions

Attached is what I have done with the question.

Any help will be greatly appreciated.

How can I use separation of variable to solve heat equation u_{t}=u_{xx on a rod of length pi/4 with u(0,t)=0, u(pi/4)=0 and u(x,0)=x(pi/4-x) }

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Hi can you please help me? I want to write a program in Maple code, using the Newton-Raphson method, to solve the equation tan(x) −x-1=0 . the approximate root is 1.5. I tried doing this using a while loop to compare the last and current iterates, but something is not working.so can you please help me do that?Thanks

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