Worksheet: Augmented Matrices

In this worksheet, we will practice finding the augmented matrix, given a system of linear equations, and its rank.

Q1:

Determine the order of an augmented matrix that represents 𝑚 linear equations in 𝑛 variables.

  • A ( 𝑚 + 1 ) × 𝑛
  • B 𝑚 × 𝑛
  • C ( 𝑚 + 1 ) × ( 𝑛 + 1 )
  • D 𝑚 × ( 𝑛 + 1 )

Q2:

Find the rank of the augmented matrix of the following system of equations:

Q3:

Find the rank of the augmented matrix of the following system of equations:

Q4:

Find the rank of the augmented matrix of the following system of equations:

Q5:

Find the rank of the augmented matrix of the following system of equations:

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