If n is a natural number and M is a matrix, then Mn denotes the matrix M multiplied by itself n times. We can include n=0, but that is just the identity matrix.
So the power of a matrix is very similar to the exponents that are used for numbers.
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ya yes its there a matrix called zero matrix
A sparse matrix is a matrix in which most of the elements are zero.
a squar matrix A is called involutary matrix. if A^2=I
A zero matrix is a matrix in which all of the entries are zero.
yes, it is true that the transpose of the transpose of a matrix is the original matrix