Question

Every matrix equation Ax=b corresponds to a vector. What does the vector b represent in this equation?

A) Coefficients of the matrix
B) Solution to the system
C) Augmented matrix
D) Identity matrix

Answer 1

The vector b in the matrix equation Ax=b represents the solution to the system of linear equations.

Step-by-step explanation:

In the matrix equation Ax=b, the vector b represents the solution to the system.

When we have a system of linear equations represented by the augmented matrix [A|b], where A is the coefficient matrix and b is the constant vector, finding the solution to the system is equivalent to solving the equation Ax=b.

By solving for x, we can find the values of the variables that satisfy the given system of equations.