Check if the following sets of functions are linear dependen

Check if the following sets of functions are linear dependent or linearly independent.

a) {x+1, (x^2)+x, (2x^2)-x-3}

b) {sin(a), 2cos(a), 3sin(a)+cos(a)}

c) {cos(3a), 4cos^3(a)-3cos(a)}

a ) here we represent 2x^2-x -3=2 (x^2+x )-3 (x +1) then given function is linearly dependent (b) 3sina+cosa=3 (sina )+1/2 ( 2cosa) then given function is linearly dependent c) 4cos^3a-3 cosa =1 (cos3a) then given function is linear dependent.

$Check if the following sets of functions are linear dependent or linearly independent. a) {x+1, (x^2)+x, (2x^2)-x-3} b) {sin(a), 2cos(a), 3sin(a)+cos(a)} c) {co$

Check if the following sets of functions are linear dependen

Solution

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