12. Find LU fuctorization of matrix A(with Lunit lower triangulac A= 2-4 2 8-126 1 14-2 U= [2] 2=1123)

Q: A is an n × n matrix with the property that A^2 = A. (a) If B = In − A, show that B^2 = B. (b) Show…

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Q: Find T(v) by using the standard matrix and the matrix relative to B and B'. T: R2 - R2, T(x, y) =…

A: We have to Find T(v) by using the standard matrix and the matrix relative to B and B.   Given…

Q: Consider the following 3 x 3 matrix A and b in R, 1 -4 8 | A = 2 -3 2 1 5 -8 1

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Q: 1. Two matrix vectors a and b are given as a = -0--0 and b Find (alb).

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Q: Let A be a matrix that satisfies ?^2 =? where ? is the identity matrix. a. Find a 2x2 example of…

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Q: For this matrix A, find a diagonal matrix D and invertible matrix P with inverse P such that A = P D…

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Q: Let be A, B, C,x. 5x5 matrixes such that A, B and C can be inverted such that AXB" – 151, = c-1…

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Q: 3. Find all matrices which satisfy the matrix equation (::)(; })-(; :)(::)

A: Here,

Q: The equilibrium point of æ' = Ax + b is xo =-A¯'b for any matrix A. O True O False

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Q: = = (*) (4) ¹9) 3x 5x-4x

A: Given that fxy=3x-y2x+y and gxy=3x5x-4y. We have to find the matrix A for f∘g.

Q: Let T: R³ → R² be defined by T -~--~--E) ----B]}~~(~-| ||-~ ~[]) Let B = u₁ U3 = { = [3], , = 6 (ED)…

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