Suppose the matrix, A, has eigenvectors 00-0 respectively. Use this order of eigenvectors to find matrices P and D so that A can be written in the form A = PDP-¹. P = and 0 whose eigenvalues are -4, 8 and 6 D =

Q: Let A be the matrix of the quadratic form below. It can be shown that the eigenvalues of A are 4, 7,…

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Q: and find the corresponding eigenvector.

A: λ is an eigen value if we have Av=λv for some v non-zero.v is called eigen vector.

Q: Find a 2 x 2 matrix A such that are eigenvectors of A with eigenvalues 4 and -10, respectively. A =…

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Q: Find the eigenvalues and the corresponding eigenvector of any one of the eigenvalues of the matrix:…

A: Let us take matrix A = 5-1  00-5  95-1  0

Q: 12+3i 1) A = 7+4i -12- 6i -5-7i -1+i 3-i a) This matrix is diagonalizable b) The P matrix would be…

A: Given: A=12+3i-12-6i10+4i7+4i-5-7i7+4i-1+i3-i1 The eigenvalues of A are λ=2-i, 2-3i, 4.

Q: Suppose ?<0λ<0 and ?u are a pair of eigenvalue and eigenvector of a 2×22×2 matrix ?A and ?=??v=Au.…

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Q: This matrix has repeated eigenvalues for which value(s) of a? M= a -1 4 4

A: We have to find the values of a for which the matrix M has repeated eigenvalues. We know that a 2×2…

Q: q= 2 1-4 1 -1 FOR 2X2 matrix, Compute At. - find eigenvalues. find eigen e → compute At > At_V/V…

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Q: Determine if U = ? V -- H 5 4 CT is an eigenvector of the matrix A = 4 0 0 -18 5 24 0 12

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