[Periodic energy usage] The 168-vector −→w gives the hourly electricity consumption of a manufacturing plant, starting on Sunday midnight to 1AM, over one week, in MWh (megawatt-hours). The consumption pattern is the same each day, i. e., it is 24-periodic, which means that wt+24 = wt for t = 1, · · · , 144. Let −→d be the 24-vector that gives the energy consumption over one day, starting at midnight. 1. Use vector notation to express −→w in terms of −→d.
2. Use vector notation to express −→d in terms of −→w.