-13 8 40 Let A 12 -3 -30 Find an invertible matrix P and a diagonal matrix D such that D =P'AP. -8 4 23

Q: A) Justify if the matrix A is diagonalizable.B) Find a matrix T and a diagonal matrix J, such that…

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Q: (31/1/2 03 A= 1 1 - 1 3 3 3 1 0 0 0 0 0 0 0 -130 0 0 10 3/

A: According to the given matrix A, find an invertible matrix P such that .

Q: -23 16 24 Let A = -6 5 . Find an invertible matrix P and a diagonal matrix D such that D = P-'AP.…

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Q: If A is an nxn invertible matrix, then det(A-1) is equal to O det (A)-"det(adj(A)) O None of these…

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Q: Which one of the following equations is true for nxn matrices A, B, and C? (Assume all matrices…

A: For the given matrices A, B, and C. We have to choose the correct option.

Q: uppose is the quadratic form Q = x Ax, where A is the symmetric matrix A = 2 he quadratic form is…

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Q: 20.) compute each matrix sum or product it it is denied, if an expressio is undefined explain why…

A: The given matricesTo Find:-

Q: 4 -1 5 -2 where I is the identity matrix. Let A = Compute 31 – A and (31)A,

A: To compute the following matrix

Q: 2) (1) Consider the matrix A = matrix will fail to be invertible? (ii) Consider the matrix B =…

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Q: Construct a 3x5 matrix A such that dim Nul 4. Explain and justify your answeT.

A: We need to construct a 3x5 matrix A such that dim Nul A = 4. So, nullity(A) = dim Nul A = 4. We know…