Orthogonally diagonalize the matrix below by finding an orthogonal matrix Q and a diagonal matrix D such that QTAQ = D. (Enter each matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.) (D, Q) = A = 6 6 8 086

Q: and find matrix Y such that 4 + 2} - 48.

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Q: -1 find its inverse A¬'. Check that your inverse is actual in 2 For a matrix A = -3 Ichow vour work…

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Q: Apply the column mix operation to the matrix S Enter your answer as a 2 x 2 matrix with hexadecimal…

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Q: Perform elementary row operations to transform the matrix [2 3] 5 6 into the identity matrix.

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Q: What is the rank of the matrix?

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Q: to B=101 t00 select all true •If AB =Ithen BA=I AB=I 'AB=I but nut BA=I "BA-I inone of these %3D

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Q: B- Find the matrix A :- 3. A + -5 4 1. -1 3.

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Q: Express the quadratic form (c₁x₁ + C₂X₂ + ... + Сnn)² in the matrix notation TA, where A is…

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Q: R={(2,1),(3,1),(3,2)} as a zero to one matrix

A: Given R = R=2,1,3,13,2  we have to write it as a zero-one matrix  A= 0001001103×3

Q: Evaluate det (A) for the matrix A=($ 2).

A: Given matrix is A=8254 The task is to find the inverse of the given matrix.

Q: Prove that (A + B)² = -(A + B) in matrix..

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Q: Find a 2 by 2  matrix that scales the point (x,y) by 0.5 in the x direction and 3 in the y…

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Q: 12 (b) Given D = 2, decode the following message: Message: -1, 4, 30, -41, 39, -58, 22, -33, 31,…

A: Given: The given matrix is D=2-3-12. To find: b) We have to decode the following message: Message:…

Q: Let's create a matrix that reflects around a line that is perpendicular to the vector n = [0.375,…

A: A matrix that reflects around a line y=mx s given by, 1-m21+m22m1+m22m1+m2-1-m21+m2 Since, the line…

Q: 2 -1 3 1 0 0 1 A = -1 2 no

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Q: (b) Let A be an m × n matrix. Prove that row(A)- = null(A). =

A: Given information: Matrix A is of order m×n. To prove: rowA⊥=nullA Orthogonal complement: Consider V…

Q: a- B-2 3] and Given matrices Find CAB 3

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Q: Q5) Check whether the following matrix is diagonalizable or not. 7 -3 A = -9 -2 3 18 -8,

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Q: 10) Find the transpose of the resulting matrix: AE 4 x 5 -100 3 5 A = 2 2 a. -|-7 26 29 26 C. - 29 7…

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Q: The adjoint of zero square matrix is zero matrix and the adjoint of identity matrix is identity…

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Q: Write down the 4×4 3D matrix to move by(xm,ym,zm).

A: A 4 by 4 Matrix 3D matrix used for the purpose of representing the given vectors is called…

Q: Find an SVD of the indicated matrix. (Enter each matrix in the form [[row 1], [row 2], ...], where…

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Q: Is the following matrix diagonalizable¹? 3 B=0 0 -3 1] 3 1 0 3

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Q: Use row operations to change the matrix to reduced form. 1 1 1 18 5 6 7 24 1 1 1 18 5 6 7 24

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Q: 4 Compute x using the vectors w = -2 and x = (Simplify your answer. Type an integer or simplified…

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Q: determine the diagonalizing matrix: X1 = λαι X2 + X3 = λχη – X2 + X3 = λx3

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