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Lecture# MATH-328: Live Session Week 3

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Trace (linear algebra)

In linear algebra, the trace of a square matrix A, denoted tr(A), is defined to be the sum of elements on the main diagonal (from the upper left to the lower right) of A. The trace is only defined fo

Representation theory

Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these

Linear algebra

Linear algebra is the branch of mathematics concerning linear equations such as:
:a_1x_1+\cdots +a_nx_n=b,
linear maps such as:
:(x_1, \ldots, x_n) \mapsto a_1x_1+\cdots +a_nx_n,

Affine variety

In algebraic geometry, an affine algebraic set is the set of the common zeros over an algebraically closed field k of some family of polynomials in the polynomial ring k[X_1, \ldot

Jordan

Jordan (الأردن al.ʔur.dunː), officially the Hashemite Kingdom of Jordan, is a country in West Asia. It is situated at the crossroads of Asia, Africa, and Europe, within the Levant

Lectures in same course (36)