Question

What is a determinant of a matrix????? What is a matrix?

Answer 1

The determinant of a matrix is a value that provides vital properties of the matrix and can only be calculated from a square matrix. A matrix is an organized array of numbers in rows and columns, representing various mathematical entities and transformations.

Step-by-step explanation:

A determinant of a matrix is a special number that can be calculated from a square matrix. It is a scalar value that provides important properties of the matrix, such as whether the matrix is invertible and the volume distortion during the linear transformation represented by the matrix.

A matrix is an array of numbers arranged in rows and columns. It is a mathematical object that can represent linear transformations, systems of linear equations, and other mathematical concepts. Matrices have various sizes, described by the number of rows and columns they have.

Answer 2

In linear algebra, the determinant is a scalar value that can be computed from the elements of a square matrix and encodes certain properties of the linear transformation described by the matrix. The determinant of a matrix A is denoted det(A), det A, or |A|.