Matrix Creation and Operations

Code

% Create matrices
A = [1 2 3; 4 5 6; 7 8 9];
B = eye(3);          % 3x3 identity
C = zeros(2, 4);     % 2x4 zeros
D = rand(3, 3);      % 3x3 uniform random

% Element-wise operations (use .)
A .* A    % element-wise square
A .^ 2    % same
A ./ A    % element-wise divide

% Matrix operations
A'        % transpose
inv(A)    % inverse
det(A)    % determinant
rank(A)   % rank
eig(A)    % eigenvalues
A \ b     % solve Ax = b (left divide)

Explanation

MATLAB (MATrix LABoratory) treats everything as a matrix. Element-wise operators use a dot (.* ./ .^), while matrix operators don't. The backslash operator (\) solves linear systems efficiently and is preferred over inv(A)*b for numerical stability.

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