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Basic Matrices

Last Updated: June 20, 2024

Matrix Definition: Row Matrix Definition: Column Matrix Definition: Zero Matrix Definition: Square Matrix Definition: Symmetric Matrix Definition: Skew Symmetric Matrix Definition: Diagonal Matrix Definition: Indentity Matrix Definition: Identity Matrix Definition: Upper Triangular Matrix Definition: Lower Triangular Matrix Definition: Triangular Matrix Definition: Transpose Matrix Definition:  Let \(\bf A=[A_{ij}]_{m \times n}\) be an \(\bf m \times n\)...

Algebraic Operations on Matrices

Last Updated: June 20, 2024

Equal Matrices Definition:   Let \(\bf A\) and \(\bf B\) be two matrices of same order such that \(\bf A=[A_{ij}]_{m \times n}\) and \(\bf B=[B_{ij}]_{m \times n}\). Then the matrices \(\bf A\) and \(\bf B\) are said to be \(\fcolorbox{red}{white}{\bf equal matrices}\) iff $$ \bf A_{ij}=B_{ij} $$ Multiplication by a Scalar to a Matrix Definition:...

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