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A matrix with 9 elements is shown below:
This Matrix [M] has 3 rows and 3 columns. Each element of matrix [M] can be referred to by its row and column number.
Example: a23 = 6
➢ Order of a Matrix
➢ Transpose of a Matrix
➢ Properties of Transpose of a Matrix
➢ Singular and Nonsingular Matrix
➢ Properties of Matrix Addition and Multiplication
➢ Square Matrix
➢ Symmetric Matrix
➢ Diagonal Matrix
➢ Identity Matrix
➢ Orthogonal Matrix
➢ Idempotent Matrix
➢ Involutory Matrix: A matrix is said to be Involutory if A2 = I.
Note: Every Square Matrix can uniquely be expressed as the sum of a symmetrix matrix and skew symmetric matrix. A = 1/2 (AT + A) + 1/2 (A – AT).
➢ Adjoint of a Square Matrix
➢ Properties of Adjoint
➢ Inverse of a Square Matrix
➢ Properties of Inverse
➢ Where should we use Inverse Matrix?
➢ Trace of a Matrix