Let’s consider sets of linear algebraic equations in Mathcad in vector-matrix form **A*x =b**, where**А**is quadratic matrix of coefficients which go together with unknown variables, matrix determinant has non-zero value; х is vector of unknown variables; **b** – vector of absolute terms. The solution is as follows. If the determinant of matrix **А** has non-zero value, then matrix **А** is invertible. In this case we multiply the left and the right member of the original equation by the inverse matrix **(****А****-1)**, and get a solution, that looks like: **x=A-1*b**. It is not complicated to realize these procedures with help of Mathcad instruments. In case of the infinite set of solutions we get a singular matrix, and Mathcad generates the answer: “**Matrix is singular. Cannot compute its inversy**” and guns the calculations. In the listing you can observe an example of a set of linear algebraic equations being solved.

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