Matlab vectorize a matrix

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Matlab vectorize a matrix

Conversion of a Matrix into a Row Vector. This conversion can be done using reshape function along with the Transpose operation. This reshape function is used to reshape the specified matrix using the given size vector. Skip to content. Change Language. Open In App. Related Articles. Improve Improve. Like Article Like. Save Article Save. Report issue Report.

Stephan on 14 Jan Fangjun Jiang on 8 Jan

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.

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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:. Here, minus is a function handle opens new window to the minus opens new window operator - and will be applied between elements of the two matrices B and mean B. Other function handles, even user-defined ones, are possible as well.

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Fariha Tabassum on 6 Apr Search MathWorks. We use cookies to ensure you have the best browsing experience on our website. Additional Information. Vectorization is used in matrix calculus and its applications in establishing e. Not clear. Select a Web Site Choose a web site to get translated content where available and see local events and offers. Edited: Stephan on 14 Jan Cancel Copy to Clipboard. You will be notified via email once the article is available for improvement.

Help Center Help Center. Vector creation, array subscripting, and for -loop iteration.

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