MATLAB Mathematics - SERC - Index of

1 Matrices and Linear Algebra
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A rectangular matrix A is rank deficient if it does not have linearly independent
columns. If A is rank deficient, the least squares solution to AX = B is not
unique. The backslash operator, A\B, issues a warning if A is rank deficient and
produces a least squares solution that has at most rank(A) nonzeros.
Underdetermined Systems
Underdetermined linear systems involve more unknowns than equations. The
solution to such underdetermined systems is not unique. The matrix left
division operation in MATLAB finds a basic solution, which has at most m
nonzero components.
Here is a small, random example:
R = [6 8 7 3; 3 5 4 1]
R =
6 8 7 3
3 5 4 1
rand('state', 0);
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