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Lesson Worksheet: Rank of a Matrix Mathematics

In this worksheet, we will practice finding the rank and nullity of a matrix.

Q1:

What is the rank of the matrix [00]?

Q2:

Find the rank of the matrix 224448.

Q3:

What value can 𝑘 not take if the rank of the matrix 𝐴=741522𝑘2491521 is 3?

Q4:

Find the rank of the matrix 1611141719243624.

Q5:

If the matrix 𝐴=691𝑘244151811 has rank 2, what is the value of 𝑘?

Q6:

What is the rank of the identity matrix, 𝐼?

Q7:

What is the rank of the zero matrix of order 3×3?

Q8:

What is the rank of the zero matrix of order 2×2?

Q9:

Determine the value of 𝑘 that makes the matrix 779𝑘61221 have the lowest rank possible.

Q10:

What is the rank of the identity matrix, 𝐼?

This lesson includes 12 additional questions and 81 additional question variations for subscribers.

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