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  • F^n is a vector space.
  • For invertible linear transformations A and B
  • For matrices
  • Formula for computing the least squares solution to a linear system
  • Formula for computing the least squares solution to a linear system.
  • Formula for diagonalizing a real 2-by-2 matrix with a complex eigenvalue.
  • Formula for the coordinates of a vector with respect to an orthogonal/orthonormal basis.
  • Formula for the coordinates of the projection of a vector onto a subspace
  • Formula for the determinant of a 2-by-2 matrix.
  • Formula for the determinant of a 3-by-3 matrix.
  • Formula for the inverse of a 2-by-2 matrix.
  • Formula for the least-squares linear fit to 2-dimensional data
  • Formula for the (orthogonal) projection of one vector onto another vector
  • Formula for the spectral decomposition for a symmetric matrix
  • For n-by-n invertible matrices A and B
  • Gaussian elimination as a method to solve a linear system
  • Gauss-Jordan procedure to put a matrix into reduced row echelon form
  • Geometric description of span of a set of vectors in R^n (or C^n)
  • Geometric picture of a 2-by-2 linear system
  • Geometric picture of a 3-by-3 linear system
  • Geometric picture of the solution set of a linear equation in 3 unknowns
  • Geometric properties of linear transformations
  • Geometric properties of linear transformations on R^2
  • Geometric properties of R^n (or C^n)
  • Hermitian matrices
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