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1 ąuestion 1 Solve the following linear equations for , 2 and rs using LU decomposition ri + 2x2 +4x3--6, 2n+2x2 + 3x3 =-1. ·Write the matrix A associated with eq. (1.1). Write out the steps in the LU decomposition of A. . Display the final matrix in LU form . Also write down the final value of the array of the swap indices. (swap array) ·Also write down the total number of swaps performed . Calculate the determinant of the matrix A Solve eq. (1.1) for ri, r2 and r3.

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