Every orthogonal matrix is diagonalizable. o true o false

FALSE

Step-by-step explanation:

the correct answer is FALSE

A matrix is said to be orthogonal when it is  multiplied by its own transpose then the matrix comes out to be Identity.

                                     

the basic condition for a matrix to be diagonalizable is that the matrix should be symmetric.

but an orthogonal matrix is not necessarily symmetric so, the statement is false.

I believe the answer is: True

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