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Understand The Properties Of The Identity Matrix As It Relates To Matrix Operations

True or False: The determinant of an Identity Matrix is always equal to 1.

True or False: The inverse of an Identity Matrix is always the Identity Matrix itself.

True or False: An Identity Matrix can have non-zero elements outside its main diagonal.

True or False: The trace of an Identity Matrix is always zero.

True or False: An Identity Matrix can be subtracted from any matrix without changing the original matrix.

True or False: The product of any matrix and the zero matrix is the zero matrix.

True or False: The product of a matrix A and its transpose is always an Identity Matrix.

True or False: When multiplied by any matrix A, the Identity Matrix results in a matrix with all elements equal to zero.

True or False: The Identity Matrix is the only matrix that, when squared, results in the same matrix.

True or False: An Identity Matrix can be used as the additive identity in matrix addition.