(b) Find the characteristic equation of the matrix P defined by [2 1 1] P = 1 2 1 li 1 2] Further verify that the matrix P satisfies its characteristic equation and also find P-1 (if exist).

Q: Am.111.

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Q: [1 0 [9 0 01 c) A-2 = |0 4 0 Lo o 1l 9. Find a matrix A that satisfies a) (3.4) =0 -1 1 |0 0 -1| 2.

A: ANSWER :

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

Q: let A nonsingular matrix, c #0, c scalar (cA)" = CA -1 -1 %3D Select one: True O False

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Q: 2. For the matrix (i) Find all eigenvalues, t.

A: Introduction: Let A be an n×n square matrix.If a NONZERO vector x∈Rn and a scalar fulfill Ax =λ x,…

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Q: Number 6 (b and d only!)

A: We have to find the invertible matrix Q

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A: We find the sum of squares of the singular values in terms of A.

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A: Here,

Q: 6 Let b₁=[2] b₂ = 3 4 [ C₁ = [ ² ] ² ₂ = 1²²] > V = [] (2 13 2 and C = { C₁₂ (₂} Find and consider…

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Q: 3х3 real inant of

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Q: 2. Find the coordinate matrix of 7 = ³- {)-(-9)} B = 2 0 0 6 2 relative to the basis

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