5. Find the three by three matrix A such that [r – y] A. y for all r, y, z in R.

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A: In this question we have to find the (1, 2) entry of x.

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Q: EXER 7: MATRICES Prove that if N is invertible then MN¹ = N¹M if and only if MN=NM.

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Q: Let W be the set of all vectors of the form [3s 4r5t] 2r + 2s - t 3s - r + 5t 3r + 2s + 4t with r, s…

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Q: 2. (2.3 #68) Prove that if A, B, and C are square matrices and ABC = I, then B is invertible and B-¹…

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Q: Y1 y2 y3 y4 ys Y1| 0.9 0.3 0.4 0.1 0.2 0 1 0.7 V2| 0.2 1 0.8 R, (x, y) = x, 0.3 0.5 0 0.2 R, (y, z)…

A: Given data:                       y1   y2 y3y4 y5R1x,y=x1x2x30.10.2010.70.30.500.210.8010.40.3…

Q: Given u = [1 0 1] and v = [1 1 1]T (v is column matrix), evaluate the Boolean product u ʘ v

A: Given u = [1 0 1] and v = [1 1 1]T (v is column matrix), evaluate the Boolean product u ʘ v

Q: n 2. Check whether the matrix A- 2 Check whether the matrix A (0 is Hestnitian and Unitary matrix or…

A: The detailed solution is given below Thank you

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Q: Find all real numbers a, b for which the matrix A nalizable in R. = ( 1] is diago-

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Q: Let W be the set of all vectors of the form with r, s and treal. Find a matrix A such that W =…

A: Solution:-

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Q: Let x = (−3, 1, 7, 2, 3, − 1)T, find P, Householder matrix, and a scalar a, such that Px = y, where…

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Q: Use matrix inversion to find the values of x, y and z given X y = 4 3 2 0 1 0 -1 2 36 0 0 3

A: Given;  [x = [4  0  -1]-1 [2  y     3   1  0   1 z]     2   0 0]    3]