Matrices and Determinants

In linear algebra, the determinant is a useful value that can be computed from the elements of a square matrix. The determinant of a matrix A is denoted det(A), det A, or | A |. It can be viewed as the scaling factor of the transformation described by the matrix.
Matrices and Determinants is full of knowledge and for all level of students from beginner to advance
Matrices and Determinants covers all the important topics.
Matrix
Determinants
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.
Trace
Transpose
Determinant
Inverse
Matrix CoFactors
Matrix AdJoint
LU decomposition
Rank of a matrix
Addition and Subtraction of Matrix
Multiplication of Matrix
System of equations
Auto convert Fractions


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