Matlab vectorize a matrix

Sign in to comment. Sign in to answer this question.

Sign in to comment. Sign in to answer this question. Unable to complete the action because of changes made to the page. Reload the page to see its updated state. Choose a web site to get translated content where available and see local events and offers. Based on your location, we recommend that you select:. Select the China site in Chinese or English for best site performance.

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.

Vote 0. Toggle Main Navigation.

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. Instead of doing a matrix multiply, we can multiply the corresponding elements of two matrices or vectors using the. The "poly" function generates a vector containing the coefficients of the characteristic polynomial. We can easily find the roots of a polynomial using the roots function. At any time, we can get a listing of the variables we have stored in memory using the who or whos command.

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. Another option would be to replicate v with repmat do not do this either :. Instead use bsxfun opens new window for this task:. The name bsxfun helps to understand how the function works and it stands for B inary FUN ction with S ingleton e X pansion. In other words, if:.

Stay puft marshmallow man lego dimensions

Sign in to comment. Download as PDF Printable version. View More. But now I need to get,. You should consider transposing the array and using reshape. The connection between the vectorization of A and the vectorization of its transpose is given by the commutation matrix. Rik on 4 Oct See Also. Improve Improve. Conversion of a Matrix into a Row Vector. Fariha Tabassum on 6 Apr

Sign in to comment. Sign in to answer this question. Unable to complete the action because of changes made to the page.

Singapore: World Scientific. But now I need to get,. The connection between the vectorization of A and the vectorization of its transpose is given by the commutation matrix. Vote 1. Last Updated : 04 Jul, Dear All,. Sky Scrapper on 14 Jan Yezi Kadhim on 9 May Stephan on 11 Jan Contribute your expertise and make a difference in the GeeksforGeeks portal. Skip to content. Article Talk. Rik on 4 Oct In short, the above can be simplified as:. MathWorks Answers Support.