Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are 11 and 2. 6 4 -2-2 3 4-2 6-2 Enter the matrices P and D below.

Q: 8 -3 0 7 9 2 -1 0 2 0 0 8 O O

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Q: 7. Give an example of each matrix of order 3x3 which has three values of different eigenvalues, two…

A: We want to consider a 3×3 matrix.

Q: Find the eigenvalues of the given matrix. -24 25 -20 21

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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: Diagonalize the matrix below, if possible. The eigenvalues for A are )= 1,2. 0 -4 -6 A -1 -3 1 2 5

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Q: Find the eigenvalues of the matrix. -2 -2 4 A = -4 1 2 2 2

A: First I have find the characteristic polynomial of given matrix , then find its root and these are…

Q: 3. Find all the Eigenvalues and Eigenvectors of the following matrix. Then diagonalize the matrix by…

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Q: For the matrix, list the real eigenvalues, repeated according to their multiplicities. 6 -2 0 8 0 6…

A: An eigenvector or characteristic vector of a linear transformation is a nonzero vector that changes…

Q: For the matrix, list the real eigenvalues, repeated according to their multiplicities. 3 -20 4 0 21…

A: if the given matrix is A then eigen value are:-  det(A-lembda i)=0

Q: For the matrix A, find (if possible) a nonsingular matrix P such that PAP is diagonal. (If not…

A: A matrix is diagonalisable if algebraic and geometric multiplicity of all eigen values are equal. In…