Question

What are determinants? Explain. 5​

Answer 1

Answer:

A determinant is a square array of numbers (written within a pair of vertical lines) which represents a certain sum of products. Below is an example of a 3 × 3 determinant (it has 3 rows and 3 columns). The result of multiplying out, then simplifying the elements of a determinant is a single number (a scalar quantity).

Answer 2

Answer:

, the determinant is a scalar value that is a function of the entries of a square matrix. It allows characterizing some properties of the matrix and the linear map represented by the matrix. ... Determinants are used for defining the characteristic polynomial of a matrix, whose roots are the eigenvalues.