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Please attempt both. 1. Perform the marquis de Laplace process in both possible ways (remember, you...
Please attempt both. 1. Perform the marquis de Laplace process in both possible ways (remember, you choose the lead vector) on the basis 3 to create an orthogonal basis for R2. Geometrically represent each process in 3 plots: The first two vectors, the projection and perpendicular, and finally the new basis. 2. Perform the marquis de Laplace process on the basis 3 -2 1 3 -1 3 5 -1 to create an orthogonal basis for R3.
Perform the marquis de Laplace process on the basis 3 ll -1 5 to create an orthogonal basis for R3.
Please attempt all 3. Perform the marquis de Laplace process on the basis {f(x) = = x2 - 4x + 1, g(x) = 2x + 4, h(x) = x2 +3} to create an orthogonal basis for the space of polynomial functions of degree < 2. 4. Use the marquis de Laplace process to show that the following set is linearly dependent: (10) 5. Use the marquis de Laplace process to show that the following set is linearly dependent: {f(x) =...
Perform the marquis de Laplace process on the basis {f(x) = x2 - 4x +1, g(x) = 2x + 4, h(x) = x2 + +3} + to create an orthogonal basis for the space of polynomial functions of degree 5 2.
Please attempt both questions 3. Use the continuous function on the interval (0,1) inner product to find the projection of f(x) onto g(x). (Feel free to use an integral calculator. I use wolfram alpha. Just make sure to type the problem in carefully). (a) f(x) = -22 - 1, g(x) = -2 (b) f(x) = 2r?, g(x) = 2+1 (e) f(x)=-1-1, g(x) = x2 +3 4. Consider 3-space with the dot product. Your subspace S will be the plane z...
Please attempt both questions. 5. Find an orthonormal basis for the plane viewed as a subspace of R3. Z (-1,0,2) (0,-1,0) (0,1,0) X 6. Determine if each basis is orthogonal. Further, is the basis orthonormal? (a) In the vector space R3 (i.e. column vectors in 3-space): 1 2 5 -3 (b) In the vector space that consists of polynomial functions of degree less than or equal to 2: {f(x) = 22 - 3, 9() = 4, h(x) = 2² +2}...
Please attempt all questions. 2. Use the polynomial inner product to find the projection of f(*) onto g(x). (a) f(x) = -12 -1, 9(20) = ? (b) f(x) = 2x2, g(x) = 2+1 (C) f(c) = -1-1, g(x) = r2 +3 3. Use the continuous function on the interval [0,1) inner product to find the projection of f(x) onto g(2). (Feel free to use an integral calculator. I use wolfram alpha. Just make sure to type the problem in carefully)....
Can you please answer questions 1-6,thank you a lot!Thumbs up for great answer,Thx! Remember: to show that a property is true you must check every possibility (probably using variables and general vectors). To show that a property is false you only need to give one counterexample. 1. Find a set of vectors in R2 which is closed under vector addition but not scalar multiplication. 2. Find a set of vectors in R? which is closed under scalar multiplication but not...
please can you give the solutions not just anwsers. Thank you. 1 LetE CR E : x + x2 - X3 = 1, be an affine subspace. Select one or more: 1. The affine subspace ECR is passing through the point (0,3,2) il E = aff((1,0,0), (2,0,1),(1, 1, 1)) l. The affine subspace H CR' perpendicular to E and passing through the point (1,2,3) is given by H -(1,2,3) + lin((3,3, -3)) W. The Image of the affine orthogonal projection...
PLEASE DO BOTH #5 AND #6. The purpose of the project is to perform a timing experiment. You are required to complete the following activities: Write a computer program that prompts the user for a number, creates an array for that number of random integers, and then usees the bubble sort to order the array. The program should print out the array prior to the call to the sorting algorithm and afterwards. You can write the program in either Java,...