A = G I 1 1 Find the matrices P and D that orthogonally diagonalize the matrix A such that A = PDPT

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Q: Orthogonally diagonalize the matrices by finding an orthogonal matrix Q and a diagonal matrix D such…

A: The given matrix is A=1220 We have to find an orthogonal matrix Q. Also, we have to find QTAQ=D.

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Q: Consider the matrix A = ГО 1 1 1 1 1 1 1 0. a.) Write A-¹ as a product of elementary matrices with A…

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Q: (a) Let A, B be n × n symmetric matrices such that XTAX = X™BX for all column vectors X e R". Show…

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Q: 3 Orthogonally diagonalize the matrix A = giving an orthogonal matrix P 4 and a diagonal matrix D…

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Q: Determine whether A is diagonalizable. A = (D, P) = 0 2 2 220 OYes O No Find an invertible matrix P…

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Q: For the matrix A, find an orthogonal matrix P such that P-1 A Pis diagonal. 3-2 41 A = I ده است مراد…

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

A: To find matrix A such that

Q: Orthogonally diagonalize the matrix. A = PDPT, where P A = 2 0 0 0 1 -1 and D 0 −1 1

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Q: 3) Let A = 2 -1 Find a matrix P that orthogonally diagonalizes A. Use P to com- 0 -1 pute A5.

A: Given, A=11012-10-11first we have to find a matrix Pfor eigen values of…

Q: Let A be a 7 x 4 matrix and let v be a vector with 4 entries. Which of the following statements is…

A: as we know that when a matrix is multiplied by a vector then the product is a vector.

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Q: Let A be a 3x3 matrix such that 23 Assume that the vector v = -2 3 is a solution of the matrix…

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Q: (4) Find an orthogonal matrix P that diagonalizes A. Verify that PT AP gives the proper diagonal…

A: As per the question we are given a 4×4 square symmetric matrix A and we have to find an invertible…

Q: Orthogonally diagonalizable the following matrix 2 1 1 C = -1 1 1 0 -1 1.

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Q: Let [156 A = x 1 y 22-6 Find the value of (x, y, z) so that A is a symmetric matrix. (x, y, z) =

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Q: IK, ar U₁ = 2 vecte U2 = U1, U2, U3 3a + 3 2a +3 a²+3a 7 113 = 4a - 2 3а-1 2a² a) Show that the rank…

A: Introduction: To find the rank of matrix put the matrix into row echelon form and decide the rank…

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Q: P = ) Let A = -15 -8 -8 0 -3 0 24 16 13 Find an invertible matrix P and a diagonal matrix D such…

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Q: Let u and v be column vectors from Rn and define A = I + uvT, where I E Rnxn is the identity matrix.…

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