ASL STEM

Magic Square Sign Video

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Definition

An nXn matrix M is called a magic square if the sum of the entries is the same in each row, each column, and both diagonals. This common sum is called the weight of M, denoted wt(M). If M is an nXn magic square that contains each of the entries 1, 2,..., n^2 exactly once, then M is called a classical magic square.

Source: Linear Algebra: A Modern Introduction, 3rd edition by David Poole (note-custom edition titled Matrix Algebra)

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+ Linear Equation

+ Infinite Dimensional *

+ Binary Vector *

+ Linear Combination *

+ Dot Product *

+ Standard Unit Vectors *

+ Inconsistent *

+ Augmented Matrix *

+ Coefficient Matrix *

+ Row Echelon Form *

+ Elementary Row Operations *

+ Back Substitution *

+ Leading Entry *

+ Row Reduction *

+ Gaussian Elimination *

+ Leading Variable *

+ Free Variable *

+ The Rank Theorem *

+ Gauss Jordan Elimination *

+ Reduced Row Echelon Form *

+ Linearly Dependent *

+ Linearly Independent *

+ Strictly Diagonal Dominant *

+ Diagonal Entries *

+ Square Matrix *

+ Diagonal Matrix *

+ Scalar Matrix *

+ Zero Matrix *

+ Column Matrix *

+ Elementary Matrix *

+ Matrix Factorization *

+ Column Space *

+ Standard Basis *

+ Basis Theorem *

+ Inverse Transformation *

+ Upper Triangular *

+ Lower Triangular *

+ Stochastic Matrix *

+ Identity Transformation *

+ Linear Transformation *

+ Eigenvector *

+ Cofactor Matrix *

+ Cramer's Rule *

+ Characterstic Polynomial *

+ Dominant Eigenvalue *

+ Algebraic Multiplicity *

+ Laplace Expansion Theorem *

+ Characteristic Equation *

+ Geometric Multiplicity *

+ Similar Matrices *

+ The Diagonalization Theorem *

+ Orthogonal Set *

+ Orthogonal Basis *

+ Orthonormal Set *

+ Orthonormal Basis *

+ Orthogonal Matrix *

+ Diagonalizable *

+ Orthogonal Complement *

+ Qr Factorization *

+ Orthogonally Diagonalizable *

+ The Spectral Theorem *

+ Fibonacci Type Sequence *

+ Lucas Sequence *

+ Vector Space *

+ Zero Subspace *

+ Orthogonal Decomposition Theorem *

+ Trivial Subspace *

- Magic Square *

+ Zero Transformation *

+ Fund Thm Of Invertible Matrices *

+ Finite Dimensional *

+ Characteristic Polynomial *

+ Column Vector *

+ Null Vector *

+ Conjugate Matrix *

+ Nonsingular Matrix *

+ Singular Matrix *

+ Gram Schmidt Orthonormalization *

+ System Of Linear Equations

* video needed

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