given the bivariate data points of (X,Y)   (30,34) , 34,40) ,(52,50), (45,52), (55,54), (48,45), (50,60)   a) compute the bivariate mean and covariance matrix for X and Y   b) Find the trace and determinant of the covariance matrix

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Q: Find an LUfactorization of the given matrix.

A: Find an LUfactorization of the given matrix.A=2-431

Q: 5.)Write the aua mented matrix for the syshem X, +2X,-X, tXc =l =マ+ t bulo

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Q: Find an SVD of the indicated matrix.

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Q: Let x1 = (1/2, 1/2, 1/2, 1/2), x2 = (-2, –1, –4, –1), X3 = (1,2, –1, 1), x4 = (1, 1, 1, 0). (a) By…

A: Given that x1=12,12,12,12,x2=-2,-1,-4,-1,x3=1,2,-1,1,x4=1,1,1,0. Note: send part (b) and part (c)…

Q: 5. Which matrix is skew symmetric? O A - AT O A +AT O AAT O ATA

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Q: In Exercise, find an SVD of the indicated matrix.

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A: Given, the transition matix                          P=0.380.620.250.75

Q: 6. Find the transition matrix from B to B' and find the coordinate matrix [x] B¹, given the coordi-…

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Q: (a) find the transition matrix from B to B′, (b) find the transition matrix from B′ to B, (c) verify…

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Q: (b) Use the above transition matrix to find [v]g' given that [v]B = [# - I'

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Q: Find the coordinate matrix of x in R'" relative to the standard basis. = (2, –6, –5, 9) [x]s =

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Q: Show that if A is a normal matrix then each of thefollowing matrices must also be normal. A2

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Q: Let B = {uj = ,U2 = and C = V2 = Find Pg, the transition matrix from the standard basis of R? to the…

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Q: Which of the following matrices are shearing matrices?

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Q: Find the equilibrium vector for the given transition matrix. 0.24 0.76 P = 0.26 0.74 The equilibrium…

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Q: (b) Compute the covariance matrix of the data given by x1 = [2 1]', x2 = [3 %3D x3 = [2 3]'and x4 =…

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Q: Consider the following two data vectors: A = [3,7,11] B=[3,2,1] Calculate the covariance matrix of…

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Q: Find the transition matrix from the basis B = {(1,2,3) (1,0,1)(1,2,1)} to B' = {(1,1,0)(0,1,1)…

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