3- solve the following system of linear equations using Gaussian elimination approach (backward substitution). 1x₁ + x₂ + 2x₂ = 3 [1 1 2 2x₁ + 3x₂ + x3 =1} Ax=b, A = 2 3 3x₁x₂x3 = -1) 3 -1 -1 Write the corresponding LU decomposition. Write the determinant of coefficient matrix based on LU results. b= 3

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