Answer:
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.
[tex]A^T.A = I[/tex]
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.