Write down the matrix necessary to perform the inverse FourierTransform by nding the inverse of!modulo 7. Show how to usethis matrix to reproduce the original sequence. Again, all arithmeticshould be performed modulo 7. (HINT: You'll need to multiply theend result of the matrix multiplication by1 to get back the originalcoecient sequence.

An ideal otto cycle with air as the working fluid has a compression ratio of 8. the minimum and maximum temperatures in the cycle are 300 k and 1340 k. use constant specific heats at room temperature to determine (a) the amount of heat transferred to the air during the heat- addition kj/kg, (b) the thermal efficiency, and (c) the thermal efficiency of a carnot cycle ope limits. process, in rating between the same temperature