Question

[ 1 3 0 1 0 0 ] [ 0 1 0 4 0 0 ] [ 0 0 0 1 1 2 ] [ 0 0 0 1 0 0 ] 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, we separate the matrix into individual coefficients and constants using variables x, y, z.

Step-by-step explanation:

To write the system of equations for the given augmented matrix, we will separate the matrix into individual coefficients and constants. Let's denote the variables as x, y, z and write the system of equations:

x + 3y + 0z = 1

0x + y + 0z = 4

0x + 0y + 0z = 1

0x + 0y + 1z = 0

0x + 0y + 0z = 0