Question

[1 0 0 0 ] [0 0 0 0 ] [0 1 5 1 ] A matrix is given. Write the system of equations for which the given matrix is the augmented matrix.

Answer 1

To write the system of equations for the given augmented matrix, assign variables to the unknowns x, y, and z. Then rewrite the matrix as a system of equations.

Step-by-step explanation:

To write the system of equations for the given augmented matrix, let's assign variables to the unknowns. Let x, y, and z represent the unknowns in the system. Now we can rewrite the matrix as follows:

x + 0y + 0z = 1

0x + 0y + 0z = 2

0x + y + 5z = 1

From these equations, we can see that the system consists of three equations with three variables: x, y, and z.