Kronecker product (⊗) is a specialization of tensor product for matrices. Named after Leopold Kronecker, though Zehfuss was first to describe it. Also known as matrix direct product
Lower triangular matrices have zeros above main diagonal. Upper triangular matrices have zeros below main diagonal. Lower triangular matrices denoted by L, upper triangular by U or R. Diagonal matrices are both upper and lower triangular
Born in Chicago in 1934 to Scottish immigrant parents. Graduated from MIT in 1955, received Rhodes Scholarship to Oxford. Earned PhD from UCLA in 1959 under Peter K. Henrici
Zero determinant means columns and rows are linearly dependent vectors. Zero determinant means matrix is not invertible. Zero determinant means parallelepiped volumes are zero. Zero determinant means system of equations has non-trivial solution. Zero determinant means determinant of linear transformation is zero
Gauss-Jordan Elimination solves linear systems using augmented matrix and row operations. Method represents system as augmented matrix and reduces it to reduced row-echelon form
Eigenvectors are non-zero vectors that remain unchanged under linear transformations. Eigenvectors are also known as characteristic vectors of a matrix. Eigenvectors are right or left eigenvectors depending on matrix order