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The equations 7x 2y 13z 0 and 14x 4y 26z 0 7 2 13 12 14 4 26. So which among these equations describe the same plane 4x 6y 10z 0 2x 3z 5y 5z 2x 3y. Suppose we are now given descriptions of three lines in R3 3x 2y z 5 x y 5z 18 2x 2y 11z 45 7x 4y 2z 10. Almost all equations in variables x and y of the form Ax2 Bxy Cy 2 Dx Ey F 0 are conic sections the shape of the solution set is obtained by intersecting some plane with the cone x2 y 2 z 2. Use the reduced row echelon form rref...
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