Self Practice 3.2 1. Solve the following systems of linear equations using the elimination method. (a) 7x + 5y - 3z = 16 3x - 5y + 2z = -8 5x + 3y - 7z = 0 (b) 4x - 2y + 3z = 1 x + 3y - 4z = -7 3x + y + 2z = 5
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-Ix - Sy + 32 = -6 Ix + Sy - 32 = 6 ----------------- 0 = 0 This means that the two equations are dependent and represent the same line. There are infinitely many solutions. Show more…
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a) Solve the following linear system of equations by Gaussian Elimination method: The unknowns are X, y, and z. 5x + 3y - 2z = 4 2x + 1y - 3z = 8 6x - 2y + 6z = 2 b) Find the inverse of the following matrix using Gauss Elimination method:
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iii. Solve the systems of linear equations as indicated. Use the inverse matrix to solve the following system of linear equations: x1 + 2x2 + 3x3 = 5 2x1 + 5x2 + 3x3 = 3 x1 + 8x3 = 17 Use inverse matrix to solve the following system of linear equations: 2x - 3y = 4 4x + 3y = 8 Use Cramer's Rule to solve the following system of linear equations: 4x1 + 8x2 - 12x3 = 44 3x1 + 6x2 - 8x3 = 32 -2x1 - x2 = -7
Question 1: Solve the following systems of linear equations: (a) x + y + 2z = 4 2x + 3y + 6z = 10 3x + 6y + 10z = 17 (b) x - 2y + 3z = 2 2x - 3y + 8z = 7 3x - 4y + 13z = 8 (c) x + 2y + 3z = 3 2x + 3y + 8z = 4 5x + 8y + 19z = 11
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