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categoryالرياضيات schoolبكالوريوس event_available2026-07-15

السؤال

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.. E₂E1 1. For each of the matrices A in Exercise 4.1.3, find a product of elementary matrices E=.... so that EA is the reduced echelon form of A. Use the matrix E you've found to give constraint equations for Ax = b to be consistent. Tea Gaussian elimination to find 4-1 (if it existel 0 in standard form. 1 0 3. For each of the following matrices A, determine its reduced echelon form and give the general solution of Ax (a) A = -2 3 -1 3 -3 0 2 *(b) A = -1 3 ༑ - f 4 1 -2 6 (c) A = - 2 2 3 -1 1 + 1 3 6 (d) A = -2 2 -4 1 O -1 0 1 2 0-1 -17 *(f) A= -1 -3 1 2 1 -1 3 2 -3 7 3. w -1 0 (g) A = I 1 0 2 1 0 T 1 2 4 2 2 0 1 -1 0 1 1 1 0 (h) A = -1 2 4 3 5 9 -1 09 4 3 -2 0 1 -6 4 12 -1 -7 2 2 *(e) = 1 3 2 4 1 2 2 3 Ax h in standard form.

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