Two vectors from the vector space described in the previous prob- lem (polynomials defined on the interval [-1, 1]) are 1+1 and 1-1. Find an orthogonal set of vectors based on these two vectors.
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![Two vectors from the vector space described in the previous prob-
lem (polynomials defined on the interval [-1, 1]) are 1+1 and 1-1.
Find an orthogonal set of vectors based on these two vectors.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fedca6c1c-4961-4130-b3a4-80e5cc821103%2F88e97d62-c6fb-4446-a75f-c3ffe8e5e624%2F6gll74t_processed.jpeg&w=3840&q=75)
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- The resultant vector from the cross product of two vectors is _____________ a) perpendicular to any one of the two vectors involved in cross product b) perpendicular to the plane containing both vectors c) parallel to to any one of the two vectors involved in cross product d) parallel to the plane containing both vectorsSolve in C++ using the given code and avoid using vectorsConsider a vector ('L', 'M', 'M', 'L', 'H', 'M', 'H', 'H'), where H stands for ‘high’, L stands for ‘low’, and M for ‘medium’ in rstudio. a. Convert this vector into an unordered factor. b. Convert this vector into an ordered factor with Low < Medium < High.
- MATLAB question For input vector x, write a function to check whether there exists exactly 4 elements in x which are divisible by 3.Given two squares on a two-dimensional plane, find a line that would cut these twosquares in half. Assume that the top and the bottom sides of the square run parallel to the x-axisJust the default matrix (2D vector)
- jupyter nootebook python with julia 1: Modify your models and coding of Chebyshev center and building a house to get the right anwsers. # Given matrix A and vector b A = [2 -1 2; -1 2 4; 1 2 -2; -1 0 0; 0 -1 0; 0 0 -1]b = [2; 16; 8; 0; 0; 0]Using Matlab, A=[1 2 3;4 5 6;7 8 10]; a)Create a vector version of the original matrix A. b)Extract those entries of the original matrix A that are greater than 5Bu = ƒ and Cu = f might be solvable even though B and C are singular. Show that every vector f = Bu has ƒ1 + ƒ2+ ……. +fn = 0. Physical meaning: the external forces balance. Linear algebra meaning: Bu = ƒ is solvable when ƒ is perpendicular to the all – ones column vector e = (1, 1, 1, 1…) = ones (n, 1).
- Simplify the given function using K map f(a,b,c,d)= ∑m (1, 2, 4, 11, 13, 14, 15) + d (0, 5, 7, 8, 10)Basis of vectors(20pts) Consider the matrixA =−2 11−10 5(a) Determine, by hand, an SVD of A, A = UΣVT. The SVD is not unique,so find the one with the minimum number of minus signs in U and V . List thesingular values σ1 and σ2, and the left and right singular vectors.(b) Find A−1 not directly, but via the SVD. Check your result by typing inv(A)in MATLAB or calculating A−1 by other methods.(c) Find the eigenvalues λ1 and λ2 of A. Verify that detA = λ1λ2 and |detA| =σ1σ2