The determinant below has the value..............

[rachael724]

The determinant below has the value of

| 1 2 3 |
| 4 5 6 |
| 7 8 9 |


Would the answe be 0?

 

[stapel]

Yes.

Eliz.

 

[soroban]

Hello, rachael724!

The determinant below has the value of

| 1 2 3 |
| 4 5 6 |
| 7 8 9 |

Would the answer be 0? . . . . yes!

In fact, it can be shown that a \(\displaystyle 3\times3\) determinant
consisting of consecutive integers (in order) always has value 0.