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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Since he is investing the same amount monthly, we have to apply annuity formula. And it is planned for the future. So that, we'll apply future value annuity formula. The formula is ![FV=A[ \frac{(1+ \frac{r}{s})^{Ns} -1 }{r} ]](https://tex.z-dn.net/?f=FV%3DA%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7Br%7D%7Bs%7D%29%5E%7BNs%7D%20-1%20%7D%7Br%7D%20%5D)
, where A is the monthly payment, r is the percentage rate, s is 12 (monthly compound) and N is the time, which is 30. Plugging the numbers into the formula, we write that ![FV=155[ \frac{(1+ \frac{0.037}{12} )^{12*30} - 1 }{0.037} ]](https://tex.z-dn.net/?f=FV%3D155%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7B0.037%7D%7B12%7D%20%29%5E%7B12%2A30%7D%20-%201%20%7D%7B0.037%7D%20%20%5D)
= $8485.450857