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Definition of system of linear equations
Definition of the 0/trivial subspace
Definition of the determinant in terms of the effect of elementary row operations
Definition of the imaginary part of a vector in C^n
Definition of the least-squares linear fit to 2-dimensional data
Definition of the (main) diagonal of a matrix
Definition of the real part of a vector in C^n
Definition of the standard basis of the m by n matrices
Definition of the standard basis of the polynomials of degree at most n
Definition of the standard matrix for a linear transformation
Definition of the standard/natural basis of R^n (or C^n)
Definition of trace of a matrix
Definition of transpose of a matrix
Definition of trivial linear dependence relation on a set of vectors
Definition of trivial solution to a homogeneous linear system of equations
Definition of unitary matrix
Definition of unit matrix
Definition of unit vector
Definition of Vandermonde matrix
Definition of vector
Definition of vector addition
Definition of vector-scalar multiplication
Definition of vector sum/addition
Definition of weights in a linear combination of vectors
Description of a basis for the null space of a matrix from the reduced row-echelon form.

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