Final answer:
To solve linear systems using row reduction, the correct technique is to convert matrices to echelon form, not matrix multiplication, vector addition, or dot product computation. Echelon form enables back-substitution to find the solution.
b is the correct answer.
Step-by-step explanation:
You can solve linear systems using row reduction by converting matrices to echelon form. The process involves performing row operations to change the matrix into an upper triangular form, where you can then apply back-substitution to find the solutions to the system. The row operations are as follows:
- Swap the places of two rows.
- Multiply a row by a non-zero scalar.
- Add or subtract the multiple of one row to another row.
These operations are used in tandem to create a matrix in echelon form, which can simplify solving the system of equations. The answer to the question is therefore option b) By converting matrices to echelon form. It is worth noting that, in contrast, matrix multiplication, vector addition, and dot product computation are different operations that are not used directly in the row reduction method to solve linear systems.
In conclusion, the mentioned correct option in the final answer is to use row reduction to convert matrices to echelon form to solve linear systems.