av David Kedrowski 14 år siden
188
MAT.116 5.4
Matrices are fundamental elements in linear algebra and are utilized in various mathematical and real-world applications. They are ordered rectangular arrays of numbers organized into rows and columns.
av David Kedrowski 14 år siden
188
Mer som dette
If A and B are two matrices of the same size, then:
A zero matrix is one in which all entries are zero.
A zero matrix O has the property that A+O = O+A = A for any matrix A having the same size as that of O.
If A, B, and C are matrices of the same size, then
If A is an m x n matrix with elements a_{ij}, then the transpose of A is the n x m matrix A^T with elements a_{ji}.
If A is a matrix and c is a real number, then the scalar product cA is the matrix obtained by multiplying each entry of A by c.
Two matrices are equal if they have the same size and their corresponding entries are equal.
A matrix is an ordered rectangular array of numbers. A matrix with m rows and n columns has size m x n. The entry in the ith row and the jth column of a matrix A is denoted by a_{ij}.
