Using matrix to solve linear system of equations
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1. Find the equation of the line shown: (see attachment).
2. A bank loaned $15,000, some at an annual rate of 16% and some at an annual rate of 10%. If the income from these loans was $1800, how much was loaned at 10%?
3. Write the augmented matrix of the system: (see attachment).
4. Perform the row operation R2 = (-2)r1 + r2 on the matrix.
5. Indicate whether the reduced row-echelon form of each augmented matrix has one solution, no solution, or infinitely solutions.
8. Find the inverse matrix.
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Solution Summary
The solution shows how to find the augmented matrix of the linear system of equations. It also includes detailed steps using Gaussian eliminations to find the inverse matrix (see attachment).
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