163 290 -68 2. Let B =-150 -262 60 -245 -414 91 This matrix has characteristic polynomial - (A- 6) (A+7). Determine a Jordan form J for the matrix B and determine a matrix X such that XJX-1 = B.

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A: Given : B=123204341 To Explain : B is Not positive definite

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A: Given that  I=0σ-σ-10J=-iσ200-iσ2K=0-σ3-σ30 Also it states that  I2=J2=K2=-1 and  IJ=K  All these…

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A: The given question is solved below.

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A: we have to find  the characteristic polynomial of the matrices A=21-13

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A: (a)   Let A=a11a12...a1na21a22...a2n⋮⋮⋱⋮am1am2...amn…

Q: = Use spectral decomposition to orthogonally diagonalize the matrix A [] -7 24 7 24

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Q: 2. A= 209

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Q: (a) Find a real 2 × 2 matrix A such that A² = -I. (b) Prove that there is no real 3 x 3 matrix A…

A: Given:-                                 (a) Find a real 2 x 2 matrix A such that A² = -I. (b) Prove…

Q: al ma A sat

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Q: 3 -5 1 -3 If Find the characteristic polynomial of the matrix A.

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Q: Find the foll owing for Matrix A = -3 ) characteristic polynemial 2)characteristic équation 3)…

A: Since you have asked a question  with multiple subparts we will solve the first 3 subparts for  you.…

Q: Let A, Be M, (C) be positive definite. Prove that (4+ B)" s(A" +B").

A: Let A,B∈Mnℂ be positibve definite.  To prove A+B-1≤14A-1+B-1 Since, A and B are positive definite,…

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Q: Find the characteristic polynomial of the matrix -9 A = 1 p(z)

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Q: agonalize A and use the diagonal matrix to compute A100

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

A: The solution is below.

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Q: Linear Algebra 3 Find the projection of 6 (4,3,1,0) onto the row space of the matrix -1 -1 0

A: The projection of X on Y matrix is : X^=XYTYYT-1Y........1 let b→=X and A=Y X=4310Y=1111-2-102…

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Q: Let A and B be the matrices as shown. '1 2 1 1 2 1 ^ - ( ²³ ) ·- - 6 ÷ ³) A = 0 5 1 B = 2 -1 4 2 −1…

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