Chandan posted an Question
August 18, 2020 • 19:14 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Linearly independent (li) and linearly dependent (ld) the collection of functions y,, yr ..., y, is called li if the only solution of the equation c.y, +cy, + c

Linearly Independent (LI) and Linearly Dependent (LD) The collection of functions y,, Yr ..., y, is called LI if the only solution of the equation C.y, +Cy, + Cy=0 C,C, C= 0 where c's are constant. is otherwise it is called LD. Hence by definition, it is clear that Two functions are LD iff one function is a constant multiple of the other. For example : If y, = x and y, = 3x then y, and y, are LD, because then non zero solutions C.x+C(3x) = 0 are c, =- 3 and c, = 1.

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  • Priyadarshan Choursiya

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