Matrices

Rank of a Matrix: Let M be a non-zero matrix. If r is the number of non-zero rows when it isreduced to the reduced echelon form, then r is called the (row) rank of the matrix M. Example: Find rank the rank of matrix Solution:

Matrix Definition in Math Introduction:While solving linear systems of equations, a new notation was introduced to reduce the amount of writing. For this new notation, the word matrix was first used by the English mathematician James Sylvester (1814 – 1897). Arthur Cayley (1821 – 1895) developed the theory of matrices and used them in linear