Matlab vectorize a matrix

Conversion of a Matrix into a Row Vector.

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Matlab vectorize a matrix

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In mathematics , especially in linear algebra and matrix theory , the vectorization of a matrix is a linear transformation which converts the matrix into a vector. The connection between the vectorization of A and the vectorization of its transpose is given by the commutation matrix. The vectorization is frequently used together with the Kronecker product to express matrix multiplication as a linear transformation on matrices. More generally, it has been shown that vectorization is a self-adjunction in the monoidal closed structure of any category of matrices. The matrix vectorization operation can be written in terms of a linear sum. Multiplication of X by e i extracts the i -th column, while multiplication by B i puts it into the desired position in the final vector. For such matrices, the half-vectorization is sometimes more useful than the vectorization.

Help Center Help Center. Now let's add 2 to each element of our vector, a , and store the result in a new vector. Let's plot the result of our vector addition with grid lines. Here is an example using stars to mark the points. Creating a matrix is as easy as making a vector, using semicolons ; to separate the rows of a matrix.

Matlab vectorize a matrix

Quite often, the reason why code has been written in a for loop is to compute values from 'nearby' ones. The function bsxfun can often be used to do this in a more succinct fashion. For example, assume that you wish to perform a columnwise operation on the matrix B , subtracting the mean of each column from it:. By using bsxfun , one can do the same job neatly and easily in just a single line:.

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How to do this? In Python NumPy arrays implement the flatten method, [note 1] while in R the desired effect can be achieved via the c or as. Categories : Linear algebra Matrices. The vectorization is frequently used together with the Kronecker product to express matrix multiplication as a linear transformation on matrices. Stephan on 11 Jan Open In App. Rik on 7 Apr Jos on 5 Nov Search MathWorks. Suggest changes. Article Tags :. Select the China site in Chinese or English for best site performance. Vote 9.

Conversion of a Matrix into a Row Vector. This conversion can be done using reshape function along with the Transpose operation.

Julia has the vec A function as well. Additional Information. Like Article. Samaa Yasser on 7 Apr Not clear. Close Mobile Search. You will be notified via email once the article is available for improvement. Please go through our recently updated Improvement Guidelines before submitting any improvements. Create Improvement. How to vectorize a matrix? The vectorization is frequently used together with the Kronecker product to express matrix multiplication as a linear transformation on matrices. Tools Tools. Yezi Kadhim on 9 May Article Tags :. Show older comments.