Given the matrix 𝐴, use MATLAB to compute 𝐴𝐴 𝑡 .

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yihan wang 2021-9-20

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评论： Walter Roberson 2021-9-20

I dont konw how to add t in matlab,there is no t value, and how to find matrix is symmetric?

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Ravi Narasimhan 2021-9-20

Check https://www.mathworks.com/help/matlab/ref/transpose.html

for a couple of options on how to get the transpose of a matrix.

Walter Roberson 2021-9-20

To expand on Ravi's answer:

When using Linear Algebra,

(better) or

(not recommended) is the non-conjugate transpose of the matrix A.

(more common) or

(used in some fields) is the conjugate transpose of the matrix A. See also https://en.wikipedia.org/wiki/Conjugate_transpose#Definition which contains some less used symbols for this.

is the inverse of the matrix A

in Linear Algebra is more likely to refer to either a distinguished version of A (such as after applying a transformation matrix to A), or else to the derivative of A -- but it is not uncommon for ' to be used for either transpose or conjugate transpose in programming languages.

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Answer 1

William Rose 2021-9-20

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在 MATLAB Online 中打开

@yihan wang,

For a real matrix, A' is Matlab code for the transpose of A. Therefore:

A=[6,-2,-1,0;3,-5,0,-3;10,5,0,-1;-1,3,4,1];
B=A*A';
disp(B)
    41    28    50   -16
    28    43     8   -21
    50     8   126     4
   -16   -21     4    27

You can verify that

C=A'*A

gives the same result.