Choose the 2 by 2 nondiagonal matrix such that its eigenvalues are different positive numbers calculate its determinant, inverse, inverse and eigenvectors.

Q: Find the eigenbasis of the matrix and diagonalize it (if possible): [4 P P A =\p 10 1 [P 1 6. P=4…

A: Given: A=4444101416  The matrix A is diagonalized as S-1AS=D. The characteristic polynomial p(t) of…

Q: A = X 1 and B = [X = [11] 0 L1 alue of x that make BxA is Eigen matrix

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Q: Let A be a 4 × 4 real symmetric matrix witheigenvaluesλ1 = 1, λ2 = λ3 = λ4 = 0 Explain why the…

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Q: -1 find its inverse A¬'. Check that your inverse is actual in 2 For a matrix A = -3 Ichow vour work…

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Q: Give an example of a 3x3 matrix with eigenvalues 0,1,2

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Q: Determine the geometric multiplicity and the algebraic multiplicity of the eigenvalues of the matrix…

A: Given            The characteristic equation of A is…

Q: Let A be an n × n matrix and let B = A − αI for some scalar α. How do the eigenvalues of A and B…

A: To check that (eigenvalue of A- alpha) is an eigenvalue of B.

Q: If Q and U are unitary matrices, show that Q-1 is unitary and also QU is unitary. Start from QHQ = f…

A: As per the question we are given two unitary matrices Q, U and we have to show that Q-1 , QU are…

Q: Find the inverse of the matrix 1 2 3 A-1) if A =| 2 3 1 3 1 2

A: Given,                  A=123231312

Q: For the linear system 5 -6] ý' = 3 4 Find the eigenvalues and eigenvectors for the coefficient…

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Q: Let z be a real number and let A be the matrix 2 I A - (-34). -2 i. Find all values of r such that A…

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Q: Find the inverse matrix of A. -3 then A-1 -3 d] C Insert the values in the table below. « Previous

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Q: Let I be the 2 x 2 identity matrix. What is det (-41)?

A: The given data is:  I be the 2×2 identity matrix  To find det-4I Given:  I be the 2×2 I=1001