1 and 1683, Japanese mathematician Guan Xiaohe first put forward the concept of determinant in his book. 1750, in his book Introduction to Linear Algebra Analysis, the Swiss mathematician Cramer gave a relatively complete and clear explanation of the definition and expansion rule of determinant, and gave the now-mentioned Cramer rule for solving linear equations.
2. 1770, the French mathematician Vandermonde, separated the determinant theory from the solution of the equation. 1772, Laplace proved some rules put forward by Vandermonde in a paper, which extended the method of determinant expansion. In 18 15, Cauchy systematically and almost modestly dealt with determinant for the first time in a paper.
3.1813-1815 years, French mathematician Cauchy made a systematic algebraic treatment of the determinant, added double subscripts to the elements in the determinant and arranged them in an orderly row and column, making the notation of the determinant today. In addition, in 184 1, British mathematician Kay added two vertical lines to both sides of the number square.
Related content of formula
1, eight basic problems of determinant: arrow determinant; Two triangular determinants; Bilinear determinant; Vandermonde, determinant; Heisenberg determinant; Tridiagonal determinant; The elements of each row and the equal determinant; K-degree determinant of elements corresponding to two adjacent rows.
2. Definition of determinant: Cauchy definition; Definition of reverse order number; Extended definition. Seven attributes: two lines (columns) interchange, numerical change sign; Two rows (columns) are equal, and the value of determinant is 0; A line multiplied by k equals k multiplied by d; Two rows (columns) are in direct proportion, and the determinant value is 0; Add detachability, the lines of and are separated, and the other lines remain unchanged.
3. Algorithm of determinant: determinant is equal to its transposed determinant. Swap two rows of determinants, and the determinant takes the inverse. All the elements in a row of a determinant are multiplied by the same number k, which is equivalent to multiplying the determinant by the number K. Determinant If the elements in two rows are proportional, the determinant is equal to zero.