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| PAGE: 752 | SET: Exercises | PROBLEM: 84 |
(a)
Write a matrix 
for the amounts borrowed by each student and a matrix 
for the monthly interest rates.
Observe the table:
The matrix 
is the amounts borrowed by each student.
The matrix is 
.
The matrix 
is the monthly interest rates.
Th matrix 
.
(b) Find the multiplication of the two matrices.
The two matrices are 
and 
.
Multiplication of two matrices is possible if the number of columns in the first matrix equals the number of rows in the second matrix.
.
.
The product of the two matrices is 
.
Therefore, after one month jamals loans accured 
in interest and stephanies loans accured 
in interest.
(c) Find the value of 
where 
.
Find the value of 
.
Substitute and .
.
Find the value of 
.
The matrix is 
.
Therefore, the jamals loan balance after one month was 
and stephanies loan balance was 
.
(a) The amounts borrowed by each student is .
The monthly interest rate is .
(b) After one month jamals loans accured 
in interest and stephanies loans accured 
in interest.
(c) The jamals loan balance after one month was 
and stephanies loan balance was 
.
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