Let A =[ 4 -1 2 , -1 8 3 ,1 -2 5 ] b=[1 ,-2,3] and initial vector x 0=[0,0,0,0] perform  two itearation of the gauss seidel method

Q: c. Find the coordinate vector of the polynomial q(t)=3t² − 6t+2, relative to the basis for P₂ in…

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Q: 2.x - y-z = 0 5x - 2у +2: 3 Зх + у - 2: -8

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Q: Let B = matrix from B to C 8 - { }], ] } and c-{[7], [43]} C = be two bases for R². Find the change…

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Q: Assume that you are given a set of points and you want to find the regression line for this data. In…

A: Given linear system is Xa=Y is having no solution. Suppose that X be f by g, where f>g. X is full…

Q: 2.2. Find all solutions of the vector equation XịVi +X2V2 + X3V3 = 0, (1,0,1)7. What conclusion can…

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Q: Suppose that r1(t) and r2(t) are vector-valued functions in 2-space. Explain why solving the…

A: It is given that r1(t) and r2(t) are vector valued functions in 2-space. The objective is to explain…

Q: Express the vector v = -12 -28 as a linear combination of x = 2 [² and y= -1 -6

A: We can write the answer in the below steps.

Q: S/3 tan x, + 3cotg x, =8 2 tan x,- 30 tan x1/3 cotg x V3 45 60 90 8 cotg x, = -2/5 Of vectors in the…

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Q: 5. Let u= w= [-]-[], and w (a) Show that w is not a linear combination of u. (b) Show that u and V…

A: We have to show that-w is not a linear combination of u,u and v are linearly independent,w is a…

Q: the function to find the image of v and the preimage of w. T(V1, V2, V3) = (4v2 - V1, 4V, + 5v), v =…

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Q: 3. Check whether (2, 4) and (1, 2) are linearly dependent or not?

A: Linearly department vectors

Q: The equatiokn  Y = (x,y)T  is given as a vectorfunction with 2 components and A = table below 3 2 2…

A: Given is a matrix A and we have to diagonalize the matrix A. First we find eigenvalue of matrix A…

Q: With each m xn matrix Y we associate the column vector vec(Y) of length m x n defined by vec(Y) :=…

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Q: Which value of m would make p(x)=mx+5 and q(x)=2x+1 linear dependent vectors in P_1(x)? O A. 2 O C.…

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Q: (2) Determine if the vectors are linear independent or linear dependent. Justify your answer. (a)…

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Q: Find the stable vector of 0 0 1 1 P 2 1 3 3 ..-

A: It is an important part of statistics. It is widely used.

Q: Multiply the matrix P = A(ATA)-¹AT by itself. Cancel to prove that P² = P. Explain why P(Pb) always…

A: Here the Matrix . For this matrix P, .

Q: Given the vectors A=2a + 5a +7a₂ X y B=-a +6a +3a_ y 2 Evaluate the following Ba-3A O-2.5021a…

A: Given: The given vectors are:                        A→=2ax+5ay+7az…

Q: Find the value of k for which the vectors 4 4 -5 X = || = 4 and y = 0 1 -2 k are orthogonal.

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Q: 1. (a) Find the matrix P that multiplies every vector (x, y, z) E R³ to produce the vector (3x+2y+z,…

A: What is Linear Transformation: A function from one vector space to another that respects the…

Q: 2. 5. 2.6= 3 and c = 5. Let a = %3D 3 Compute (1) a + c (2) a + 6+ a (3) c+d +b

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Q: (-9,6) Use matrices to reflect the vector the line y = x. ove

A: Topic:- algebra

Q: If V1 = [1 4 0] and V2 = [ -2 0 8], then determine all possible 1x3 row vectors V3 such that the set…

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Q: (7,4) by 210 4. Use matrices to rotate the vector degrees counterclockwise about the origin.

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Q: If a = (4, 0, -1), find a vector b such that comp₂b = 3. b = X

A: a=<4,0,-1>ab=3ab=a→.b→a→let b=<b1,b2,b3>

Q: 7 v = 32 32 66 P= 2 7 14 2 b = 11 23

A: Given the vectors  .We need to find the linear transformation  that takes a vector of brand amounts…

Q: Use the function to find the image of v and the preimage of w. T(V1, V2, V3) = (4v2-V1, 4v, + 5v2),…

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Q: Diagonalized  if possible, where is A=[■(4&0&1@1&1&0@3&0&1)].

A: Given A =   4 0 1     1 1 0     3 0 1

Q: Use the function to find the image of v and the preimage of w. T(V₁ V₂ V3) = (4V₂ - V₁₁ 4V₁ +5V₂), v…

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