If you need convincing, multiply out the matrices. The following operations can be performed 2*x - multiplication 3/x - division x^2 - squaring x^3 - cubing x^5 - raising to the power x + 7 - addition x - 6 - subtraction Real numbers insert as 7. (Method 1) Solve the simultaneous equations (using matrices): 2x 3y 14 3x 4y 4 Solution Note firstly that these simultaneous equations can be written as the following matrix equation. The error function erf(x) (integral of probability), Hyperbolic cosecant csch(x), hyperbolic arcsecant asech(x), Secant sec(x), cosecant csc(x), arcsecant asec(x),Īrccosecant acsc(x), hyperbolic secant sech(x), Other trigonometry and hyperbolic functions: Example: If they are arranged by 3 there remains 2. The original problem is to calculate a number of elements which remainders (of their Euclidean division) are known. Hyperbolic arctangent atanh(x), hyperbolic arccotangent acoth(x) The Chinese remainder theorem is the name given to a system of congruences (multiple simultaneous modular equations ). Hyperbolic arcsine asinh(x), hyperbolic arccosinus acosh(x), Hyperbolic tangent and cotangent tanh(x), ctanh(x) Hyperbolic sine sh(x), hyperbolic cosine ch(x), Sinus sin(x), cosine cos(x), tangent tan(x), cotangent ctan(x)Įxponential functions and exponents exp(x)Īrcsine asin(x), arccosine acos(x), arctangent atan(x), The modulus or absolute value: absolute(x) or |x| Solves systems of equations by various methods:.A system of either exponential or logarithmic equations.A system of equations with a square root.The modular equation solver can not work with inequalities, only the equal sign is accepted to solve the equations. Example: x+12 3 mod 5 x 1 x + 12 3 mod 5 x 1. The value of the modulo is global and applies to all equations. A system of two equations with a cube (3rd degree) Enter the equation/congruence, the variables and the value of the modulo.Then I build up the A-coefficient matrix from 4 block matrices. Here I ordered the equations such that x is Nmax.,N0,Mmax.,M1. The linear system to solve is of the shape A dot x const 1-vector.x is the sought after solution vector. Find more Mathematics widgets in WolframAlpha. This gives the solution in the order Nmax.,N0,Mmax.,M1. ![]() ![]()
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