Terms in Linear Algebra

Some important terms related in Linear algebra

• Nul matrix A matrix in which all elements are zero is called Null matrix.
• Row matrix A matrix with 1 row and any no. of column is called Row matrix.
• Column matrix A matrix with 1 column and any no.of row is called column matrix
• Square matrix A matrix having equal no. of rows and columns is called Square matrix.
• Unit matrix A Square matrix in which all diagonol elements are 1 and all non diagonal elements are 0 is called Unit matrix.
• Diagonal Matrix A Square matrix in which all diagonal elements are non zero and non diagonal matrix are 0 is called Diagonal matrix.
• Scalar matrix A diagonal matrix with all diagonal elements are a scalar is called Scalar matrix.
• Symmetric Matrix A matrix which satisfy the relation ,,    a_ij = a_ji 
• _{Skew-symmetric matrix A matrix which satisfy the relationship ,,,} a_ij = -a_ji
• _{Triangular matrix A matrix whose elements below or above the leading diagonal are zero are called triangular matrix.}
• _{Transpose of a matrix A matrix obtained after exchanging the rows and columns of a matrix is called transpose of a matrix. It is donated as} A^T
• Orthogonal matrix A matrix which satisfy this relationship,,,,, A^T.A= 1
• Conjugate Matrix A matrix obtained by the complex conjugate of a matrix A is called Conjugate matrix. 

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