pöördmatriisi
Pöördmatriisi, also known as the inverse matrix, is a fundamental concept in linear algebra. For a square matrix A, its inverse, denoted as A⁻¹, is another matrix such that when multiplied by A, the result is the identity matrix I. Mathematically, this is expressed as A * A⁻¹ = A⁻¹ * A = I. The identity matrix is a square matrix with ones on the main diagonal and zeros elsewhere.
Not all square matrices have an inverse. A matrix that has an inverse is called invertible or
The concept of the inverse matrix is crucial for solving systems of linear equations. If we have
The calculation of the inverse matrix can be done through various methods, including Gaussian elimination (also