This page calculates the intermixing operations of several matrices, each of which is represented by an English capital letter, but the letters E (representing the unit matrix) and O (representing the zero matrix) and T (representing the transpose operation) are not allowed. Enter the data of each matrix in the first edit box below. The data of each matrix is separated by the character "|". The data of each matrix starts with the uppercase letter representing it, and then separated by a series of commas. The number, the first number must be a positive integer, representing the number of rows of the matrix, the latter number is the value of each element of the matrix input line by line, can be a decimal or a score, for example 2.35 represents two point three five, 2/3 Represents two-thirds. For example, A2,1,0,0,1 sets A to represent a second-order identity matrix. After inputting the data of all the matrices, click the “Load Data” button below the edit box to load the input data into the program. At this time, the following buttons respectively display the matrices of the loaded matrix. The letter represents that clicking the corresponding button will display the data of the corresponding matrix.Then enter the matrix operation formula in the second edit box. After inputting, click the “Start Calculation” button and the calculation result will be displayed in the table below. In the calculation formula of the matrix, addition, subtraction, multiplication and division are represented by the characters +, -, ×, /, and the order of operations can be changed by parentheses. For example, A(2B+C) is 2B and C is added and then multiplied. Matrix A. The / symbol represents the inverse of the left side of the right matrix (matrix or number). For example, A/B represents the inverse of A left by B, 2/B represents the inverse of 2 times by B, and the operator ~ finds the inverse or reciprocal of the thing to its left, so A~ represents the inverse of A. The operator T finds the transpose of the matrix to its left, for example, AT~ represents the inverse of the transpose of A. There are also det (...) and adj (...) to calculate the determinant and adjoint matrix of the matrix, such as det (B) to calculate the determinant of B, adj (C) to calculate the adjoint matrix of C.
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