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The book In nite Matrices and Sequence Spaces of Cooke is fundamental for referring to the theory of infi nite matrices. So, we introduce the necessary defi nitions and topics related to infi nite matrices in the present chapter.
Keywords: Infi nite matrix, addition, product and scalar multiplication of in finite matrices, unit matrix, left and right inverse of a matrix, transpose of a matrix, lower and upper semi-matrix, orthogonal and unitary matrices, semi-continuous and continuous matrices, left and right zero-divisors of a matrix.
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