what command would create a 5 × 5 matrix with ones on the diagonal and zeros everywhere else? in matlab

You can create a 5x5 matrix with ones on the diagonal and zeros elsewhere in MATLAB using the eye() function. The eye() function returns a matrix with ones on the diagonal and zeros elsewhere. By default, the size of the matrix is square, but you can specify the number of rows and columns by passing two arguments to the function. Here's the code:

main.m
% create a 5x5 matrix with ones on the diagonal and zeros elsewhere
A = eye(5);

% display the matrix
A
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This will output:

main.m
A =

     1     0     0     0     0
     0     1     0     0     0
     0     0     1     0     0
     0     0     0     1     0
     0     0     0     0     1
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The eye() function is named after the letter "I", which stands for identity matrix. An identity matrix is a square matrix with ones on the diagonal and zeros elsewhere.

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