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Is the scalar matrix is always a identity matrix?
No. A scalar matrix is a diagonal matrix whose main diagonal elements are the same. Only if the diagonal elements are all 1 is it an identity matrix.
Is Zero matrix a null matrix?
Yes.
What is the determinant of a 3x3 diagonal matrix?
It is the product of the three diagonal elements.
Is a matrix multiplied by its transpose diagonalisable?
It will be a square matrix and, to that extent, it is diagonalisable. However, the diagonal elements need not be non-zero. It will be a square matrix and, to that extent, it is diagonalisable. However, the diagonal elements need not be non-zero. It will be a square matrix and, to that extent, it is diagonalisable. However, the diagonal elements need not be non-zero. It will be a square matrix and, to that extent, it is diagonalisable. However, the diagonal elements need not be non-zero.
What is the difference between zero matrix and null matrix?
there is none you weasel. the only good matrix is revolutions. :)
