using matlab, find a basis of the nullspace of the following matrix: b=[5,1,0;0,-1,3] in matlab

To find the basis of the nullspace of a matrix in MATLAB, we can use the null function. Here's how to find the basis of the nullspace of the matrix b:

main.m
% Define the matrix
b = [5, 1, 0; 0, -1, 3];

% Find the nullspace basis using the null function
null_basis = null(b);

% Display the nullspace basis
disp(null_basis);
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The output will be a matrix whose columns form a basis for the nullspace of b. Each column represents a vector in the nullspace.