Use Gauss-Jordan elimination to nd the general solution for the following system of linear equations: z2 + 3z3 ???? z4 = 0 ????z
1 ???? z2 ???? z3 + z4 = 0 ????2z1 ???? 4z2 + 4z3 ???? 2z4 = 0 (b) Give an example of a non-zero solution to the previous system of linear equations. (c) The points (1; 0; 3), (1; 1; 1), and (????2;????1; 2) lie on a unique plane a1x1 + a2x2 + a3x3 = b. Using your previous answers, nd an equation for this plane. (Hint: think about the relationship between the previous system and the one you would need to solve in this question.)
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Answer:
Step-by-step explanation:
Juice squeezed from first orange = = 0.235
Juice squeezed from second orange = = 0.3
Juice squeezed from third orange = = 0.45
Juice squeezed from fourth orange = = 0.27
Juice squeezed from fifth orange = = 0.47
Total juice squeezed from all the five oranges = 0.235 + 0.3 + 0.45 + 0.27 + 0.47 = 1.725
Total juice to be squeezed = 2 cups
More juice required = 2 - 1.725 = 0.275
Therefore, to make it 2 cups of orange juice for the family, about cups of more juice is required.