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

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yihan wang
yihan wang on 20 Sep 2021
Commented: Walter Roberson on 20 Sep 2021
I dont konw how to add t in matlab,there is no t value, and how to find matrix is symmetric?
  2 Comments
Walter Roberson
Walter Roberson on 20 Sep 2021
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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Answers (1)

William Rose
William Rose on 20 Sep 2021
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.
  1 Comment
Walter Roberson
Walter Roberson on 20 Sep 2021
A'*A gives the same result only if A is square.

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