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Constructing a Matrix with the Given Characteristics

Linear Algebra

a. Construct a 3 x 3 matrix A with C(A) belonging to N(A).
b. Construct a 3 x 3 matrix A with N(A) belonging to C(A).
c. Do you think there can be a 3 x 3 matrix A with N(A) = C(A)?
d. Construct a 4 x 4 matrix A with C(A) = N(A).

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Solution Summary

This solution shows how to construct a matrix with the given characteristic in an attached Word document.

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