matrix calculator
Matrix calculator : How to use it?
The matrix calculator allows to do calculations with matrices online.
Syntax :
matrix_calculator(expression)
Examples :
- matrix_calculator(`[[2;2];[10;10]]*[[3;1];[2;4]]-[[1;2];[1;3]]`), , returns [[15;14];[43;41]]
- matrix_calculator(`[[a;2a];[a;5a]]+[[a;a+3];[6a;a]]`), returns [[2*a;3+3*a];[7*a;6*a]]
The matrix calculator allows for the matrix calculation from the cartesian coordinates.
The online matrix calculator allows for arithmetic operations on matrices, it allows to do sum, difference, product of matrices, multiplication of a matrix by a scalar, or again elevation of a matrix to a power. The matrix calculator allows you to use both literal and numeric elements. The matrix calculator specifies the different calculation steps
- Arithmetic operations using matrices
- Matrices and literal coordinate calculation
- Raise a matrix squared or at any power
- Calculate the inverse of a matrix
To perform the following calculation `((2,10),(2,10))*((3,2),(1,4))-((1,1),(2,3))` involving matrices enter matrix_calculator(`[[2;2];[10;10]]*[[3;1];[2;4]]-[[1;2];[1;3]]`), after calculation, the result is returned.
A highlight of the matrix calculator is its ability to do literal calculation, ie symbolic calculation from letters.
To perform the following calculation `((a,a),(2*a,5*a))+((a,6*a),(a+3,a))` involving matrices containing letters, enter matrix_calculator(`[[a;2a];[a;5a]]+[[a;a+3];[6a;a]]`), after calculation, the result is returned.
The matrix calculator allows you to raise a matrix squared easily and quickly. So to calculate the square of a matrix like this one : `((2,10),(1,5))^2`, just enter matrix_calculator(`[[2;10];[1;5]]^2`), to obtain the result. The principle is the same for calculating a matrix at any power 3,4,5, ...
The matrix calculator allows you to calculate the inverse of a square matrix, for example to calculate the the inverse of a matrix like this one : `((2,3),(1,5))^-1`, just use the following syntax: matrix_calculator(`[[2;3];[1;5]]^-1`), after calculation, the calculator gives the result.
- Matrix calculator : matrix_calculator. The matrix calculator allows to do calculations with matrices online.
- Determinant calculator : determinant. The determinant function calculates online the determinant of vectors or the determinant of a matrix.
- Difference between two matrices : matrix_difference. The matrix calculators allows to calculate online the difference between two matrices with step calculations.
- Inverse matrix calculator : inverse_matrix. The inverse_matrix function allows to calculate online the inverse of a matrix.
- Product matrix calculator : matrix_product. This matrix calculator allows to calculate online the product of two matrix with calculation step.
- Solve system of linear equations : solve_equations. The solver of systems of linear equations allows to solve equations with several unknowns: system of equations with 2 unknowns, system of equations with 3 unknowns, system with n unknowns.
- Sum matrix calculator : matrix_sum. This matrix calculator allows to calculate online the sum of two matrix with calculation step.
- Trace of a matrix : trace. The matrix calculator calculates online the trace of a matrix. The trace of a square matrix is equal to the sum of the terms of its diagonal.
- Transpose matrix calculator : transpose_matrix. The matrix calculator allows to calculate online the transpose of a matrix.