Problem 3 (20 points) Define a generalized inner product of two real functions in as . (a) Basing on the above inner product, orthonormalize the basis for . (b) Write down the matrix representation of the differential operator relative to the orthonormalized basis.

good job you smart son of a gun you are smarter that einstein. 7

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225