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Exercise 21

Avg difficulty 3.0

  • If two matrices are matrix equivalent and invertible, must their inverses be matrix equivalent?

  • If two matrices have matrix equivalent inverses, must the two be matrix equivalent?

  • If two matrices are square and matrix equivalent, must their squares be matrix equivalent?

  • If two matrices are square and have matrix equivalent squares, must they be matrix equivalent?

Hefferon, Linear Algebra, Maps Between Spaces, Changing Map Representations, Exercise 21

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Adapted from Linear Algebra © 2016 Jim Hefferon. Licensed under CC BY-SA 3.0 US. Source: Linear Algebra. Imported at revision df2262e.