The matrix is n x n. There are n rows, each with n columns.panqihg said:No,invertible matrix should be a n×n matrix,you must have lost a row(x1,x2,x3,…xn)T,then it's a van de Monde matrix
A matrix is a rectangular array of numbers or symbols arranged in rows and columns. It is often used in mathematics and physics to represent mathematical equations or data sets.
A matrix is invertible if it has an inverse matrix, i.e. a matrix that when multiplied by the original matrix results in the identity matrix. In other words, an invertible matrix can be "undone" by another matrix.
To show that a matrix is invertible, you can use several methods such as the determinant method, the row reduction method, or the eigenvalue method. These methods involve performing mathematical operations on the matrix to determine if it has an inverse.
Invertible matrices have many important applications in mathematics and science. They can be used to solve systems of equations, calculate the area of polygons, and perform transformations in linear algebra. Additionally, the invertibility of a matrix is closely related to its properties and characteristics.
If a matrix is not invertible, it is said to be singular. This means that it does not have an inverse and cannot be "undone" by another matrix. In practical terms, this can mean that a system of equations has no solution, or that a transformation cannot be reversed.