I understand that for a you need to setup a determinant and see if it is equal to zero or not to determine linear

Question

i understand that for a. you need to setup a determinant and see if it is equal to zero or not to determine linear

independence.

for b, i think that we have to do the dot product to determine orthogonality but don’t know how to set it up with the equation.

7 . By this point in the semester , you are duly familiar with the solution of the Particle in the ID Box , for
the interval OSSI
NICK
I n ( 20 )
sin ( quot; ) in = 1 2 , 3 ,
a ) Are these solutions linearly independent ?
b ) Are these solutions orthogonal ? Hint : Use the trig identity
sin ( ax ) sin ( box ) = cos ( ( a – b ) x ) – cos ( ( a + b ) 20 )
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