$\"\"$

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(a)

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Write a matrix $\"\"$ for the amounts borrowed by each student and a matrix $\"\"$ for the monthly interest rates.

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Observe the table:

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The matrix $\"\"$ is the amounts borrowed by each student.

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The matrix is $\"\"$ .

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The matrix $\"\"$ is the monthly interest rates.

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Th matrix $\"\"$ .

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$\"\"$

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(b) Find the multiplication of the two matrices.

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The two matrices are $\"\"$ and $\"\"$ .

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Multiplication of two matrices is possible if the number of columns in the first matrix equals the number of rows in the second matrix.

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The product of the two matrices is $\"\"$ .

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Therefore, after one month jamals loans accured $\"\"$ in interest and stephanies loans accured $\"\"$ in interest.

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$\"\"$

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(c) Find the value of $\"\"$ where $\"\"$ .

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Find the value of $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ .

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Find the value of $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The matrix is $\"\"$ .

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Therefore, the jamals loan balance after one month was $\"\"$ and stephanies loan balance was $\"\"$ .

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$\"\"$

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(a) The amounts borrowed by each student is $\"\"$ .

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The monthly interest rate is $\"\"$ .

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(b) After one month jamals loans accured $\"\"$ in interest and stephanies loans accured $\"\"$ in interest.

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(c) The jamals loan balance after one month was $\"\"$ and stephanies loan balance was $\"\"$ .