how to calculate the null space of a matrix in matlab

To calculate the null space of a matrix in Matlab, we can use the "null" function. Here's an example:

main.m
A = [1 2 3; 4 5 6; 7 8 9];
N = null(A);
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In this example, "A" is the matrix for which we want to find the null space, and "N" is the matrix whose columns form a basis for the null space of "A".

We can verify that "N" is indeed a basis for the null space of "A" by checking that "A*N" is very close to zero:

main.m
norm(A*N)
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If the result of this command is very close to zero (due to floating point error), then "N" is a valid basis for the null space of "A".