pöördemaatriks
Pöördemaatriks, in English often referred to as the inverse matrix, is a fundamental concept in linear algebra. For a square matrix A, its inverse, denoted as A⁻¹, is a matrix such that when multiplied by A, it yields 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 possess an inverse. A matrix that has an inverse is called an invertible matrix or a non-singular matrix. Conversely, a matrix that does not have an inverse is called a non-invertible or singular matrix.
The existence of an inverse is directly related to the determinant of the matrix. A square matrix
The inverse matrix has numerous applications in mathematics and its related fields. It is crucial for solving