NotableGyan | Helpful Tech Information to Note !

GATE 2017 Linear dependence  and independence In the theory of  vector  spaces, a set of  vectors  is said to be  linearly dependent  if one of the  vectors  in the set can be defined as a  linear  combination of the others; if no  vector  in the set can be written in this way, then the  vectors  are said to be  linearly independent . Full Pdf:  Linear dependence and independence Video Lecture for GATE 2017 Linear dependence and independence:

GATE 2017 Matrix Algebra Full Pdf: GATE 2017 Matrix Algebra  Video Lectures for GATE 2017 Matrix Algebra: Part 1 Video Lectures for GATE 2017 Matrix Algebra: Part 2 Matrices and Determinants were discovered and developed in the eighteenth and nineteenth centuries. Initially, their development dealt with transformation of geometric objects and solution of systems of linear equations. Historically, the early emphasis was on the determinant, not the matrix. In modern treatments of linear algebra, matrices are considered first. We will not speculate much on this issue. Matrices provide a theoretically and practically useful way of approaching many types of problems including: Solution of Systems of Linear Equations, Equilibrium of Rigid Bodies (in physics), Graph Theory, Theory of Games, Leontief Economics Model, Forest Management, Computer Graphics, and Computed Tomography, Genetics, Cryptography, Electrical Networks, Fractals.