Question
If $A=\left[\begin{array}{lll}1 & 2 & 2 \\ 2 & 1 & 2 \\ 2 & 2 & 1\end{array}\right]$, show that $A^2-4 A$ is a scalar matrix.
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| GROUP | BASE YEAR | CURRENT YEAR | |
| PRICE $p_0$ |
QUANTITY $q_0$ |
PRICE $P_1$ |
|
| FOOD | $140$ | $13$ | $160$ |
| CLOYHING | $120$ | $18$ | $150$ |
| FUEL & LIGHTING | $140$ | $10$ | $190$ |
| HOUSE RENT | $160$ | $12$ | $210$ |
| MISCELLANEOUS | $180$ | $15$ | $260$ |
| GROUP | FOOD | CLOTHING | FUEL & LIGHTING | HOUSE RENT | MISCELLANEOUS |
| I | 78 | 80 | 110 | 60 | 90 |
| W | 5 | 3 | 4 | 2 | 6 |