4. 2x₁ + X₂ X3 3x₂ + x3 -2x3 2x₁ + x₂ + x3 L = Answer X₁ X4 = 7 x4 = -3 = 2 2x4 = 8 x₂ = M U = x3 = X4 = MT

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Q: 1. Find the matrix inverse by employing LU factorization. Do not use pivoting strategy. a. 10x₁ +…

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Q: Re-order the equations, so that the coefficient matrix is diagonally dominant.

A: Writing Co-efficient matrix of given system of equations: [0 1 0 4 -2] [1 0 3 -1 0] [4 0 1 0 1] [2…

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Q: the matrix A = and explain why or why not this matrix is diagonalizable

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Q: v = (5, 2, -12, 13, 6) u, = (1. 2. -3. 4. -1)

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