Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.
Start Practicing

Worksheet: Determining the Rank of a Matrix

Q1:

What is the rank of the matrix ?

Q2:

What is the rank of the matrix ?

Q3:

What is the rank of the matrix ?

Q4:

Find the rank of the matrix .

Q5:

Find the rank of the matrix

Q6:

Find the rank of the matrix

Q7:

Find the rank of the matrix .

Q8:

Find the rank of the matrix .

Q9:

Find the rank of the following matrix.

Q10:

Find the rank of the following matrix.

Q11:

Find the rank of the following matrix.

Q12:

Find the rank of the following matrix.

Q13:

Find the rank of the following matrix.

Q14:

Find the rank of the matrix

Q15:

Find the rank of the matrix

  • A4
  • B2
  • C7
  • D3
  • E5

Q16:

If 𝐴 is an 𝑛 Γ— 𝑛 matrix of rank 𝑝 < 𝑛 ,then what is the dimension of the null-space of 𝐴 .

  • A 𝑛 βˆ’ 𝑝 + 1
  • B 𝑝
  • C0
  • D 𝑛 βˆ’ 𝑝
  • EIt cannot be determined from the data.