Visualizing each equation as being a three dimensional


Question: Consider the system of equations

ax + by + cz = A

dx + ey + fz = B

gx + hy + jz = C

(a) Using the rref command on your calculator, determine the conditions on the coefficients in order for there to be a unique solution.

(b) Visualizing each equation as being a three dimensional plane, give a geometric interpretation of this condition.

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Mathematics: Visualizing each equation as being a three dimensional
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