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Worksheet: Augmented Matrices

Q1:

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

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:

Determine the order of an augmented matrix that represents π‘š linear equations in 𝑛 variables.

  • A ( π‘š + 1 ) Γ— 𝑛
  • B π‘š Γ— 𝑛
  • C ( π‘š + 1 ) Γ— ( 𝑛 + 1 )
  • D π‘š Γ— ( 𝑛 + 1 )