Question

[1 0 -7 0 ] [0 1 3 0 ] [0 0 0 1 ] A matrix is given. Write the system of equations for which the given matrix is the augmented matrix.

Answer 1

The given matrix represents an augmented matrix for a system of linear equations. The system of equations can be written as: 1x + 0y - 7z = 0, 0x + 1y + 3z = 0, 0x + 0y + 0z = 1.

Step-by-step explanation:

The given matrix represents an augmented matrix for a system of linear equations. To write the system of equations, we can interpret each row as an equation. In this case, the system of equations is:

• 1x + 0y - 7z = 0
• 0x + 1y + 3z = 0
• 0x + 0y + 0z = 1