Question

Explain how to express a linear system as a matrix equation of the form A X=B .

Answer 1

To express a linear system as a matrix equation of the form Ax = b, you need to set up the coefficients of the variables as a matrix A, the variables as a column vector x, and the constants as a column vector b.

Step-by-step explanation:

To express a linear system as a matrix equation of the form Ax = b, you need to set up the coefficients of the variables as a matrix A, the variables as a column vector x, and the constants as a column vector b. Here's a step-by-step guide:

1. Identify the coefficients of each variable in the system of equations.
2. Arrange the coefficients in a matrix where each row represents an equation.
3. Create a column vector that represents the variables in the system.
4. Create a column vector that represents the constants in the system.
5. The matrix equation of the form Ax = b is now set up, where A is the coefficient matrix, x is the variable vector, and b is the constant vector.