Question

[1 0 0 1] [0 1 0 2] [0 0 1 3] A matrix is given. Write the system of equations for which the given matrix is the augmented matrix.

Answer 1

The augmented matrix corresponds to a system of linear equations: x = 1, y = 2, z = 3.

Step-by-step explanation:

The given matrix [1 0 0 1] [0 1 0 2] [0 0 1 3] represents an augmented matrix for a system of linear equations.

Each row of this matrix corresponds to one equation, and the columns before the last column represent the coefficients of the variables in the system, while the last column represents the constants. So, from the given matrix, we can derive the following system of three linear equations:

• x = 1
• y = 2
• z = 3