Matrices and Determinants description

This mathematics application "Matrices and determinants" is a complete reference for matrix algebra and its mathematical operations for various applications. we tried our best effort to include almost all topics with its explanations. here you can find all topics of matrices and determinants like
DEFINITIONS TYPES OF MATRICES,
EQUALITY OF MATRICES,
ALGEBRA OF MATRICES,
PROPERTIES OF MATRIX ADDITION,
MULTIPLICATION OF A MATRIX BY A SCALAR (SCALAR MULTIPLICATION),
SUBTRACTION OF MATRICES (DEFINITION),
MULTIPLICATION OF MATRICES,
PROPERTIES OF MATRIX MULTIPLICATION.,
TRANSPOSE OF A MATRIX,
PROPERTIES OF TRANSPOSE,
SYMMETRIC AND SKEW-SYMMETRIC MATRICES,
DETERMINANTS,
SINGULAR MATRIX,ADJOINT OF A SQUARE MATRIX,
INVERSE OF A MATRIX,
ELEMENTARY TRANSFORMATIONS OR ELEMENTARY OPERATIONS OF A MATRIX,
ORTHOGONAL MATRIX,
SUBMATRIX,
RANK OF MATRIX,
SOME THEOREM ON RANK OF A MATRIX.
EQUIVALENT MATRICES.ECHELON FORM OF A MATRIX,
ALGORITHM FOR FINDING THE RANK OF A MATRIX.,
SYSTEM OF SIMULTANEOUS LINEAR EQUATIONS.,
SOLUTIONS OF A NON-HOMOGENEOUS SYSTEM OF LINEAR EEQUATIONS,
ALGORITHM FOR SOLVING A NON-HOMOGENEOUS SYSTEM OF LINEAR EQUATIONS-RANK METHOD,
SOLUTION OF A HOMOGENEOUS SYSTEM OF LINEAR EQUATIONS-MATRIX METHOD,
ALGORITHM FOR SOLVING A HOMOGENEOUS SYSTEM OF LINEAR EQUATIONS.