3 5 5. Let A 2 6 For each eigenvalue of A found in part (b), find a basis for the corresponding eigenspace. (d) Find a diagonal matrix D and an invertible matrix P such that A = PDP-1.

Q: Explain how to determine whether an n x n matrix A is diagonalizable using... (a) similar matrices…

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Q: and suppose A is a 3 x 3 matrix such 3 11. Let X1 , X2 = ,X3 1 that Axı = 2x1, Ax2 = 2x2, Ax3 = X3…

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

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Q: Determine the eigen values/vectors of the matrix 4 3 -2

A: Consider the matrix A=243−2 First we will find eigen value of the matrix A The eigenvalues of A are…

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A: λ is an eigen value of a matrix A if  detA-λI=0where I is identity matrix of order same as of A.

Q: The matrix The eigenvalue X₁ is eigenspace is has two real eigenvalues, one of multiplicity 1 and…

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