The complex conjugate transpose of a matrix interchanges the row and column index for each element, reflecting the elements across the main diagonal. The matrices A and B must contain the same number of columns. The matrices A and B must have the same number of rows.ī / A solves the system of linear equations x*A = B for x. That is, A*B is typically not equal to B*A.Ī \ B solves the system of linear equations A*x = B. Matrix multiplication is not universally commutative for nonscalar inputs. If A is an m-by-p and B is a p-by-n matrix, then C is an m-by-n matrix defined by.įor nonscalar A and B, the number of columns of A must equal the number of rows of B. OperatorĪ * B is the matrix product of A and B. In order to divide matrix, A divide by matrix B using right division operator “/”, the matrices A and B must have the same number of columns.īelow table provides summary of matrix operators available in MATLAB. This means the number of columns in the first matrix must be equal to the number of rows in second matrix. To do matrix multiplication with matrix multiplication “*” operator the matrices must have a common inner dimensions. The required size of the input matrix depends on the operation. Matrix operations are done as per linear algebra rules. ’ returns the non-conjugate transpose of A, that is, interchanges the row and column index for each element. \ A divides each element of A by the corresponding element of B.Ī. B divides each element of A by the corresponding element of B.ī. ^ B raises each element of A to the corresponding power in B.Ī. * B returns the element-wise product of A and B.Ī. for example -A negates the elements of A.Ī. Substracts the second matrix from the first. OperatorĪdds two matrices of the same size. If size of two matrix is incompatible the MATLAB throws an error.īelow table gives summary of array arithmetic operators available in MATLAB. If we want to perform arithmetic operation of a scalar to a matrix, MATLAB implicitly converts scalar to the same size as the matrix. for example, we can add two vectors of the same size. If two arrays/ matrix are of the same size then each element in the first operand is matched with the corresponding element in the second operand to perform arithmetic. Element by element product of matrix A and matrix B is done by element-wise multiplication operator “.*”. Multiply or divide an array with a scalar value. We can add or subtract a scalar value to each element of a matrix. Array ArithmeticsĪrray operations are executed element by element. > x = v(2:4, 3) reads elements 2 to 4 in 3rd column. The range of values in an array or a matrix can be accessed using a colon operator. > x = v(:, end) reads entire last column. Use the end keyword to refer to the last element. We can read or modify a whole row or a whole column using colon operator. See also The Wonders Of The Embedded World: How Embedded Systems Make Our Lives Easier Index of a vector Index of matrix We can use an index to extract or modify a particular element.įor Matrix, an element belongs to row r and column c then (r,c) becomes its index. The position of an element in a matrix or array is called its index. Size() function gives the size of a vector or a matrix. MATLAB rand function MATLAB ones function MATLAB zeros function MATLAB eye function MATLAB diag function MATLAB get diag function diag() function can be used to create a diagonal matrix or to get diagonal elements of a matrix. eye() function is used to create identity matrix. Ones() and zeros() can be used to create an array of all ones and an array of all zeros. We can quickly create a square or non-square matrix using random numbers. > even_col = even_row' Vector and Matrix Creation Functions How can we create column vectors? We can create column vectors manually, by entering the elements and separating them by a semicolon.Īnother method is to create a row vector using one of the shorthand methods discussed before and then use the transpose operator to create a column vector. > even_row = linspace(0, 1, 5) creates a row vector with 5 elements evenly spaces from 0 to 1. We must specify the number of elements we want in a vector. > even_row = 1 : 0.5 : 5 creates a row vector with elements 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4.0, 4.5, 5.0.Īnother method to create evenly spaced vectors is the linspace() function. We can specify different spacing using the colon operator. The colon operator uses a default spacing of 1.
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