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If A is an n-by-n matrix and B is a column vector with n components, or a matrix with several such columns, then X = A\B is the solution to the equation AX = B. If A is a square matrix, A\B is roughly the same as inv(A)*B, except it is computed in a different way. A and B must have the same size, unless one of them is a scalar.īackslash or matrix left division. A./B is the matrix with elements A(i,j)/B(i,j). More precisely, B/A = (A'\B')'.Īrray right division. A and B must have the same size, unless one of them is a scalar. A.*B is the element-by-element product of the arrays A and B. A scalar can multiply a matrix of any size.Īrray multiplication. More precisely,įor non-scalar A and B, the number of columns of A must be equal to the number of rows of B. C = A*B is the linear algebraic product of the matrices A and B. A scalar can be subtracted from a matrix of any size. A and B must have the same size, unless one is a scalar. A scalar can be added to a matrix of any size. A+B adds the values stored in variables A and B. The following table gives brief description of the operators −Īddition or unary plus. However, as the addition and subtraction operation is same for matrices and arrays, the operator is same for both cases. The matrix operators and array operators are differentiated by the period (.) symbol. Array operations are executed element by element, both on one-dimensional and multidimensional array. Matrix arithmetic operations are same as defined in linear algebra. MATLAB allows two different types of arithmetic operations − MATLAB allows the following types of elementary operations − Therefore, operators in MATLAB work both on scalar and non-scalar data. MATLAB is designed to operate primarily on whole matrices and arrays. Lets start examining the graph from Node A.An operator is a symbol that tells the compiler to perform specific mathematical or logical manipulations. QUEUE1 holds all the nodes that are to be processed while QUEUE2 holds all the nodes that are processed and deleted from QUEUE1. the algorithm uses two queues, namely QUEUE1 and QUEUE2. Minimum Path P can be found by applying breadth first search algorithm that will begin at node A and will end at E. AlgorithmĬonsider the graph G shown in the following image, calculate the minimum path p from node A to node E. The algorithm explores all neighbours of all the nodes and ensures that each node is visited exactly once and no node is visited twice. In the next step, the neighbours of the nearest node of A are explored and process continues in the further steps. The algorithm starts with examining the node A and all of its neighbours. The algorithm of breadth first search is given below. The algorithm follows the same process for each of the nearest node until it finds the goal. Then, it selects the nearest node and explore all the unexplored nodes. Lets discuss each one of them in detail.īreadth first search is a graph traversal algorithm that starts traversing the graph from root node and explores all the neighbouring nodes. There are two standard methods by using which, we can traverse the graphs. Traversing the graph means examining all the nodes and vertices of the graph. In this part of the tutorial we will discuss the techniques by using which, we can traverse all the vertices of the graph.