LINEAR AND NON-LINEAR CORRELATION

VECTOR ALGEBRA | LINEAR COMBINATION LINEAR INDEPENDENCE AND LINEAR DEPENDENCE | Definition and physical interpretation: Linear Combination, Linear Combination: Linear Independence And Linear Dependence, Linearly Independent, Linearly Dependent, Theorem 1: If veca and vecb are two non collinear vectors; then every vector vecr coplanar with veca and vecb can be expressed in one and only one way as a linear combination: x veca +y vecb ., Theorem 2: If veca , vecb and vecc are non coplanar vectors; then any vector vecr can be expressed as linear combination: x veca +y vecb +z vecc , Theorem 3:If vectors veca , vecb and vecc are coplanar then det( veca vecb vecc ) = 0, Examples: Prove that the segment joining the middle points of two non parallel sides of a trapezium is parallel to the parallel sides and half of their sum., Components of a vector in terms of coordinates of its end points

LINEAR PAIR Two adjacents angles are said to form a linear pair of angles if their non- common arms are two opposite rays.

Linear Equation|Pair Of Linear Equations In Two Variables(Simultaneous Equation)|Solution Of Linear Equation |Solution Of Pair Of Linear Equations

Linear Equation|Pair Of Linear Equations In Two Variables(Simultaneous Equation)|Solution Of Linear Equation |Solution Of Pair Of Linear Equations

Linear Equation|Linear Equation In Two Variables|Questions|Solution Of A Linear Equation In Two Variables|Examples|OMR

Linear Combination: Linear Independence And Linear Dependence

(A) : Rubber is an elastomer. (R) : Stress-strain curve of rubber is non-linear

System Of Linear Equations|Questions Based On Linear Equations