Equivalent statements to matrix A is orthogonal

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Main Question or Discussion Point

A is orthogonal if the A[itex]^{-1}[/itex] = A[itex]^{T}[/itex].

Thus, AA[itex]^{T}[/itex] = I.

However, is the statement A is orthogonal equivalent to A[itex]^{2}[/itex]=I.

I don't think the statements are equivalent, but it comes from a test. Thus, I'd hope the test is correct.
 

Answers and Replies

  • #2
UltrafastPED
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Multiply both sides of the A^2=I expression by A^-1 and see what you get.

From that expression you will be able to see the relationship required for both to be true.
 

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