(a) Find the LU decomposition for A and use it to write A as a sum of simple matrices.
(b) Find the basis of the null space of A.
(c) ![[X1 , X2, X3, X4]T Show that the problem Ax = b with b = [1,-1, 2]T, X is consistent.](http://img.homeworklib.com/images/ee34b241-6ec0-4966-8c88-6896294f200f.png?x-oss-process=image/resize,w_560)
(d) 
Please explain every step clearly and legibly.
[X1 , X2, X3, X4]T Show that the problem Ax = b with b = [1,-1, 2]T, X is consistent.
Using the information in parts (a-d), find a solution such that
Homework Answers
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(a) Find the LU decomposition for A and use it to write A as a sum of simple matrices. (b) Find the basis of the null space of A. (c) (d) Please explain every step clearly and legibly. 101 101 [X1...
Please do parts (a), (b), and (c). Please write clearly and be neat! Problem 1 Find...
Please do parts (a), (b), and (c). Please write clearly and be
neat!
Problem 1 Find a fundamental solution set B and the corresponding set of solutions S for the system AX(t)-X), where 0 2 7 A=1207 7 2 0 (a) First, find e-values and e-vectors for A. (b) Write down B and S. (c) Is A diagonalizable? If so, give the details (write down the diagonal transformatiorn BAC = D, explaining exactly what B, C, and D are) and...
Please do b,c, and d. please write step by step and write legibly. thank you. 2....
Please do b,c, and d. please write step by step and write
legibly. thank you.
2. Definition of Derivative a) Find the slope of the tangent line to the parabola f(x) = 4x - 32 at the point a using the definition of derivative. b) Find the equation for the tangent line to f(x) = 4.c - zº if f(1) = 3. c) Find the slope of the tangent line to f(x) = (2x2 - 4) at the point a.
Need Help on Matlab matrix system. Have your code return the solution x and show this...
Need Help on Matlab
matrix system. Have your code return the solution x and show this solution in a command prompt printout. Note that you can, of course, check your answer easily with the Matlab backslash command, A\b. Naive LU Decomposition Now, starting with your functioning Gauss Elimination code, modify it to keep the factors in the same matrix that it is passed. You of course will not modify the b-vector. Have this code return the L and U matrices...
b) Find x(t)= x1(t) * x2(t) using the convolution integral. Write the result by region Show...
b) Find x(t)= x1(t) * x2(t) using the convolution integral. Write the result by region Show all regions and plots in your calculations. eros 3 x Answer: x(t)= bnien l vo s 1Swans ls AVSV meldoy C) Repeat part b) using Laplace. Write the result in terms of delayed unit steps and verify that it is an equivalent result pnwlle Answer: x(t)= ) 3et-1)u(t) 6(t-2) = c) 3e--1u(t)o()= d) 3e--1)u(t)-8(1) = Hint: Is not the same multiplication by a delayed...
Please solve the problem 8 only by using matrices a,b,c&d in problem 7. 7. Use elimination...
Please solve the problem 8 only by using matrices
a,b,c&d in problem 7.
7. Use elimination by pivoting to find the inverse of the following mati ces. T 2 3 2 (b) 2 24 -154 -2 ?24-27 (c)2 3 (d)1 24 5 4 6 L-213 1 1 47 (f) 3 5 2 (e) 2 1 3 5 2 5 8. For each matrix A in Exercise 7, solve Ax b, where b - [10, 10, 10].
a 0 0 where a b, and c are positive numbers. Let S be the unit ball whose bounding surface has the equation x-x R3 + R3...
a 0 0 where a b, and c are positive numbers. Let S be the unit ball whose bounding surface has the equation x-x R3 + R3 be a linear transformation determined by the matrix A= 1 Complete Let 0 b 0 + x 0 0 c parts a and b below. u1 x1 2 ,2 2 a Show that T S is bounded by the ellipsoid with the equation 1 Create a vector u = that is within set...
please show complete answers for a,b,c,d Find the solution to the given system that satisfies the given initial conditio...
please show complete answers
for a,b,c,d
Find the solution to the given system that satisfies the given initial condition. -5 1 |x(t) 10 3 х'() 3 -3 1 (b) х(т) %—D (d) x(T/6) (с) x(- 2т)%3 (а) x(0) %3 -1 1 3 (а) x() 3D| | (Use parentheses to clearly denote the argument of each function.)
Find the solution to the given system that satisfies the given initial condition. -5 1 |x(t) 10 3 х'() 3 -3 1 (b) х(т)...
Please complete only F, H, and J only. step by step clearly. please follow the questions. also ty...
please complete only F, H, and J only. step by step clearly.
please follow the questions. also type any codes you used.
100 Consider the following LTI system, where, Q = 5, and wo 200π rad. /sec. a) Use MATLAB to determine magnitude response and phase response of the filter b) What type of filter is it? c) What will be the output of this filter if input x,(t)-5Cos(100t). Show all calculations step by step as shown in Lecture-20 d)...
How to do question B 2,3,4,5? 3. a) Find the solution v ote ordinary diferetinl equation with the initial coditions: b)...
How to do question B
2,3,4,5?
3. a) Find the solution v ote ordinary diferetinl equation with the initial coditions: b) i) Recast our third ord ODE into a system af first order ODEs af the formA.v, where v' = dv/dz f(v) and v = (y, y,y")". You should show all working to find the corresponding matrix A. Do not solve the system. 4 mark Solve it only by hand and show your complete work. Do not use a calculator...
Please explain the solution and write clearly for nu, ber 25. Thanks. 25. Approximate the following functions f(x) as a linear combination of the first four Legendre polynomials over the interval [-...
Please explain the solution and write clearly for nu, ber 25.
Thanks.
25. Approximate the following functions f(x) as a linear combination of the first four Legendre polynomials over the interval [-1,1]: Lo(x) = 1, Li(x) = x, L2(x) = x2-1. L3(x) = x3-3x/5. (a) f(x) = X4 (b) f(x) = k (c) f(x) =-1: x < 0, = 1: x 0 Example 8. Approximating e by Legendre Polynomials Let us use the first four Legendre polynomials Lo(x) 1, Li(x)...
Please do parts (a), (b), and (c). Please write clearly and be
neat!
Problem 1 Find a fundamental solution set B and the corresponding set of solutions S for the system AX(t)-X), where 0 2 7 A=1207 7 2 0 (a) First, find e-values and e-vectors for A. (b) Write down B and S. (c) Is A diagonalizable? If so, give the details (write down the diagonal transformatiorn BAC = D, explaining exactly what B, C, and D are) and...
Please do b,c, and d. please write step by step and write
legibly. thank you.
2. Definition of Derivative a) Find the slope of the tangent line to the parabola f(x) = 4x - 32 at the point a using the definition of derivative. b) Find the equation for the tangent line to f(x) = 4.c - zº if f(1) = 3. c) Find the slope of the tangent line to f(x) = (2x2 - 4) at the point a.
Need Help on Matlab
matrix system. Have your code return the solution x and show this solution in a command prompt printout. Note that you can, of course, check your answer easily with the Matlab backslash command, A\b. Naive LU Decomposition Now, starting with your functioning Gauss Elimination code, modify it to keep the factors in the same matrix that it is passed. You of course will not modify the b-vector. Have this code return the L and U matrices...
b) Find x(t)= x1(t) * x2(t) using the convolution integral. Write the result by region Show all regions and plots in your calculations. eros 3 x Answer: x(t)= bnien l vo s 1Swans ls AVSV meldoy C) Repeat part b) using Laplace. Write the result in terms of delayed unit steps and verify that it is an equivalent result pnwlle Answer: x(t)= ) 3et-1)u(t) 6(t-2) = c) 3e--1u(t)o()= d) 3e--1)u(t)-8(1) = Hint: Is not the same multiplication by a delayed...
Please solve the problem 8 only by using matrices
a,b,c&d in problem 7.
7. Use elimination by pivoting to find the inverse of the following mati ces. T 2 3 2 (b) 2 24 -154 -2 ?24-27 (c)2 3 (d)1 24 5 4 6 L-213 1 1 47 (f) 3 5 2 (e) 2 1 3 5 2 5 8. For each matrix A in Exercise 7, solve Ax b, where b - [10, 10, 10].
a 0 0 where a b, and c are positive numbers. Let S be the unit ball whose bounding surface has the equation x-x R3 + R3 be a linear transformation determined by the matrix A= 1 Complete Let 0 b 0 + x 0 0 c parts a and b below. u1 x1 2 ,2 2 a Show that T S is bounded by the ellipsoid with the equation 1 Create a vector u = that is within set...
please show complete answers
for a,b,c,d
Find the solution to the given system that satisfies the given initial condition. -5 1 |x(t) 10 3 х'() 3 -3 1 (b) х(т) %—D (d) x(T/6) (с) x(- 2т)%3 (а) x(0) %3 -1 1 3 (а) x() 3D| | (Use parentheses to clearly denote the argument of each function.)
Find the solution to the given system that satisfies the given initial condition. -5 1 |x(t) 10 3 х'() 3 -3 1 (b) х(т)...
please complete only F, H, and J only. step by step clearly.
please follow the questions. also type any codes you used.
100 Consider the following LTI system, where, Q = 5, and wo 200π rad. /sec. a) Use MATLAB to determine magnitude response and phase response of the filter b) What type of filter is it? c) What will be the output of this filter if input x,(t)-5Cos(100t). Show all calculations step by step as shown in Lecture-20 d)...
How to do question B
2,3,4,5?
3. a) Find the solution v ote ordinary diferetinl equation with the initial coditions: b) i) Recast our third ord ODE into a system af first order ODEs af the formA.v, where v' = dv/dz f(v) and v = (y, y,y")". You should show all working to find the corresponding matrix A. Do not solve the system. 4 mark Solve it only by hand and show your complete work. Do not use a calculator...
Please explain the solution and write clearly for nu, ber 25.
Thanks.
25. Approximate the following functions f(x) as a linear combination of the first four Legendre polynomials over the interval [-1,1]: Lo(x) = 1, Li(x) = x, L2(x) = x2-1. L3(x) = x3-3x/5. (a) f(x) = X4 (b) f(x) = k (c) f(x) =-1: x < 0, = 1: x 0 Example 8. Approximating e by Legendre Polynomials Let us use the first four Legendre polynomials Lo(x) 1, Li(x)...
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