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If a$_{ij}$ is an element of matrix A and b$_{ij}$ is element of matrix B, then the matrix A and B are equal only if a = b for all i and j values. Two matrices to be equal, their order must be the same. If two matrices have their corresponding elements equal, then they are called equal matrices.
Definition of MATRIX ALGEBRA. : generalized algebra that deals with the operations and relations among matrices. ADVERTISEMENT. This word doesn't usually appear in our free dictionary, but the definition from our premium Unabridged Dictionary is offered here on a limited basis.