Assume that t is a linear transformation. find the standard matrix of t.

t:

set of real numbers r squaredℝ2right arrow→set of real numbers r superscript 4ℝ4,

upper t left parenthesis bold e 1 right parenthesiste1equals=(33,

11,

33,

11),

and

upper t left parenthesis bold e 2 right parenthesiste2equals=(negative 7−7,

44,

0, 0), where

bold e 1e1equals=(1,0)

and

bold e 2e2equals=(0,1).

Fill in the following program so that it will correctly calculate the price of the orange juice the user is buying based on the buy one get one sale.#include //main functionint main() { int cartons; float price, total; //prompt user for input information printf("what is the cost of one container of oj in dollars? \n"); scanf(" [ select ] ["%d", "%c", "%f", "%lf"] ", & price); printf("how many containers are you buying? \n"); scanf(" [ select ] ["%d", "%c", "%f", "%lf"] ", & cartons); if ( [ select ] ["cartons / 2", "cartons % 1", "cartons % 2", "cartons % price", "cartons / price", "cartons / total"] [ select ] ["=", "==", "! =", "< =", "> =", "< "] 0) total = [ select ] ["price * cartons", "cartons * price / 2 + price", "(cartons / 2) * price", "cartons / (2.0 * price)", "(cartons / 2.0) * price + price", "((cartons / 2) * price) + price"] ; else total = ((cartons / 2) * price) + price; printf("the total cost is $%.2f.\n", total); return 0; }