For Exercises 61-64, set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination. Andre borrowed $ 20 , 000 to buy a truck for his business. He borrowed from his parents who charge him 2 % simple interest. He borrowed from a credit union that charges 4 % simple interest, and he borrowed from a bank that charges 5 % simple interest. He borrowed five times as much from his parents as from the bank, and the amount of interest he paid at the end of 1 yr was $ 620. How much did he borrow from each source?
For Exercises 61-64, set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination. Andre borrowed $ 20 , 000 to buy a truck for his business. He borrowed from his parents who charge him 2 % simple interest. He borrowed from a credit union that charges 4 % simple interest, and he borrowed from a bank that charges 5 % simple interest. He borrowed five times as much from his parents as from the bank, and the amount of interest he paid at the end of 1 yr was $ 620. How much did he borrow from each source?
For Exercises 61-64, set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination.
Andre borrowed
$
20
,
000
to buy a truck for his business. He borrowed from his parents who charge him
2
%
simple interest. He borrowed from a credit union that charges
4
%
simple interest, and he borrowed from a bank that charges
5
%
simple interest. He borrowed five times as much from his parents as from the bank, and the amount of interest he paid at the end of
1
yr
was
$
620.
How much did he borrow from each source?
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
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