Suppose that a 4 x 4 matrix A has eigenvalues A₁ = 1, A2=-3, A3=5, and A4 = -5. Use the following method to find det (A). If So, on setting λ = 0, we obtain that det (A) = i + Cn p(A) = det (Al-A) = \" + C₁^^¯¹ +... det (-A) = C, or det (A) = (-1)^cn

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Q: Suppose that a 5 x 5 matrix A has eigenvalues > −3,-, 1,2,4. Compute det(A). ==

A: Suppose that a 5×5 matrix A has eigenvalues λ=-3, 12, 1, 2, 4. To compute detA.

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Q: 5. A 3 x 3 matrix is given by A = 0 20 -i 01 (a) Verify that A is hermitian. (b) Calculate Tr (A)…

A: A 3×3 matrix is given by: A=10i020-i01

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A: This a problem of linear Algebra, linear transformation.

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Q: 4.( )Find the eigenvalue and eigenvector of the matrix: 2 0-2 0 4 0 -2 0

A: If Av=λv for vA=0, we say that λ is the eigenvalue for v, and that v is an eigenvector for λ.

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Q: 5. Find a 3x3 symmetric matrix that has eigenvalues A₁ = 1, A₂ = 3, A3 = 5 and corresponding = (-¹).…

A: Given : λ1 =1 , λ2=3 , λ3=5          : K1=1-11  , K2=10-1  , K3=121 To Find : Symmetric Matrix

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Q: Suppose that the trace of a 2 x 2 matrix A is tr(A) = -14, and the determinant is det(A) smaller…

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Q: Let A = [ - (a) Find eigenvalues and corresponding eigenvectors. (b) Find a nonsingular matrix P…

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Q: Find the 2x2 matrix B given its eigenvalues = 1 and 2=3 and the corresponding eigenvectors v₁=(-1,1)…

A: For a matrix B ,if λ is an eigen value and  X is the corresponding eigen vector then    BX = λX

Q: ). -18 -7 A = 3 ( 8 11 = -1 og 12 = 2. %3D

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Q: Suppose that you were trying to use the Putzer method to exponentiate the matrix A which has…

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