Matrices in robotics and automation
In robotics and automation, matrices are the base elements for the robot movements. The movements of the robots are programmed with the calculation of rows and columns of matrices. The inputs for controlling robots are given based on the calculations from matrices.
A matrix is usually represented by an upper–case letter (such as A, B, C, or D), while the corresponding lower–case letter, with two subscript indices (eg: a11, b11, c11), represent the elements.
In the matrix , a11 represents the element in the first row and first column, a12 represents the element in the first row and second column, a21 represents the element in the second row and first column, and a22 represents the element in the second row and second column.
General form of a matrix: In general, a set of 'mn' elements can be arranged as a matrix having 'm' rows and 'n' columns as below:
In the above matrix aij represents an element of the matrix A occurring in ith row and jth column. The maximum value of 'i' can be 'm' ie. number of rows and the maximum value of 'j' can be 'n' ie. number of columns.