In mathematics, a complex number or vector is an element of the complex plane. It is an extension of the real number system, and consists of a real part and an imaginary part. For example, the number 2 + 3i is a complex number with real part 2 and imaginary part 3. A number is real if its absolute value is greater than or equal to 0, and is imaginary if its absolute value is less than or equal to 0.

With the help of complex numbers, we can make more precise and more accurate statements. For example, instead of just saying that the number 2 is greater than or equal to 1, we can say that the real part of the number 2 is greater than or equal to 1 and the imaginary part is less than or equal to 0.

The complex matrix calculator & linear system solver is a tool for performing matrix algebra (addition, subtraction, multiplication, inverses, etc.) and calculating determinant, inverse, adjugate, rank, rref, and triangular forms of matrices of any size with real or complex entries.

In addition, the complex matrix calculator allows performing linear system analysis and solving systems of linear equations with real or complex augmented matrices.