After applying the Gram-Schmidt Orthonormalization Process to the basis B = 20 2 a -b 1 1 we get the basis B' = a Show your workings in your script. [This is completely optional] Find the value of a. Find the value of b. Find the value of c. Find the value of d.

Q: Explain why S is not a basis for P2. S = {1, 4x, -6 + x², 7x} O sis linearly dependent. O s does not…

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Q: 5.) Let B = {(1,1, –1), (1,–1,1), (-1,1,1)}, and B' = {(1,0,0), (0,1,0), (0,0,1)} be bases for R³,…

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Q: Explain why S is not a basis for P2.S = {1, 2x, −4 + x2, 5x}

A: Explain why S is not a basis for P2.S = {1, 2x, −4 + x2, 5x}

Q: Apply the Gram-Schmidt orthonormalization process to transform the given basis for R into an…

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Q: Given 1 -3 -1 A = 3 4 -6 8 0 -1 3 1 Find a basis of Ker(A).

A: Given matrix is A=102401-3-134-680-131

Q: 1 and let A = -2 3 be the 5 9. Let v = and v, = 3 matrix for T : R? R relative to the basis B = {v1,…

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Q: Suppose that in solving an LP, we obtain the tableau in Table 22. Although x1 can enter the basis,…

A: We know that, if in an LPP if all the elements of any column are less than or equal to zero then the…

Q: Find the change-of-coordinate matrix from the basis B 3 2 {CCE]} -1 0 4 -5 8 -2 to the standard…

A: Find the change-of-coordinate matrix from the basis  to the standard basis in .Options are :1. The…

Q: Let S = {V1, V2} be a basis of R? where v1 and v2 = -3 What element of R? is determined by the…

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Q: The change of coordinates matrix from basis B to basis C of R3 is given by P = C-B The coordinates…

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Q: 10. B =

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Q: Use the given LU factorization to find all solutions to Ax = b 1 0 0 0] [50 -31 1 0 0 0-8 6 9 1 0 0…

A: We have given:To find all solutions to  using the given LU factorization, we can proceed as…

Q: Show that {u₁, u2} is an orthogonal basis for R². Then express x as a linear combination of the u's.…

A: Given:u1​=[2−6​],u2​=[124​],x=[2−2​]  Step 1: Check OrthogonalityTwo vectors u1​ and u2​ are…

Q: Given the basis B = the basisi B | {Q.B]} Find the change of coordinates matrix from the standard…

A: We find required matrix.

Q: ind a basis for each of the four subspaces associated with the matrix: [1 2 3 1 A = 2 4 6 22 2

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Q: Explain why S is not a basis for P2. S = {1 – x, 1 – x², –1 – 4x + 5x²} O S is linearly dependent. O…

A: Consider the given functions. S=1-x,1-x2,-1-4x+5x2 Let S is linearly independent and there exist…

Q: represent the standard inner product in R3 with respect to the basis (1,0,1),(0,1,1),(1,1,0).

A: Given basis for R3 is B=1,0,1,0,1,1,1,1,0 = b1,b2,b3        The standard inner product with…

Q: VII. For R3, find the Change of Basis matrix from basis B to basis D. -2 As a mild form of…

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Q: Explain why S is not a basis for R2. S = {(-6, 6)} O sis linearly dependent. S does not span R². S…

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Q: Suppose u1, ... , Un and v1, ... , Vn are orthonormal bases for Rn. Construct the matrixA=UI:VT that…

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Q: See picture

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