A matrix is a rectangular array of elements. These elements are usually numbers but need not be. Matrices follow special rules for basic mathematical manipulation (addition and multiplication).
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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 zero matrix is a matrix in which all of the entries are zero.
a squar matrix A is called involutary matrix. if A^2=I
yes, it is true that the transpose of the transpose of a matrix is the original matrix