Properties of determinants and how it remains altered or unaltered based on simple transformations is matrices. Second and third order determinants, minors and co-factors. Representing real life problems in matrix form.ĭeterminants Introduction to determinants. Some of the problems in this part demonstrate finding the rank, inverse or characteristic equations of matrices. Introduction to Matrices - Part II Problems and solved examples based on the sub-topics mentioned above. Defining special types of matrices like Symmetric, Skew Symmetric, Idempotent, Involuntary, Nil-potent, Singular, Non-Singular, Unitary matrices. Addition, subtraction, scalar multiplication, multiplication of matrices. Definitions of Trace, Minor, Cofactors, Adjoint, Inverse, Transpose of a matrix. What a Matrix is, order of a matrix, equality of matrices, different kind of matrices: row matrix, column matrix, square matrix, diagonal, identity and triangular matrices. Introduction to Matrices - Part I Introduction to Matrices.
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