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The main intention of this book is to deal with transpose of intuitionistic fuzzy soft matrix, symmetric intuitionistic fuzzy soft matrix, determinant of intuitionistic fuzzy soft matrix and their associated properties.Established results are approximately similar to the results obtained in case of fuzzy matrices on the basis of reference function.It is seen that the properties of intuitionistic fuzzy soft matrices are more or less similar to classical matrices.Still some exceptions remain which cannot be looked down upon.