A coordinate-free definition of this operation relies on the top exterior power defining a one-dimensional space. SL(n) (“S-L-N”) is the kernel of a homomorphism defined by this operation from GL(n) (“G-L-N”) to the non-zero reals under multiplication. Unusually, this operation is only introduced towards the end of a textbook by Sheldon Axler called Linear Algebra Done Right, which defines this operation as the unique alternating multilinear form up to scaling. The output of this operation equals the constant term of the characteristic polynomial. The general linear group excludes matrices which output zero under this operation since they are non-invertible. For 10 points, name this operation that, for a two-by-two matrix, equals “a d minus b c.” ■END■
| Northern California | Main | Y | 4 | 100% | 0% | 25% | 59.00 |
| Southern California | Main | Y | 6 | 100% | 0% | 17% | 60.67 |
| Florida | Main | Y | 6 | 83% | 0% | 0% | 89.60 |
| Great Lakes | Main | Y | 7 | 86% | 0% | 43% | 94.00 |
| Lower Mid-Atlantic | Main | Y | 10 | 90% | 0% | 10% | 88.56 |
| Upper Mid-Atlantic (2) | Main | Y | 5 | 100% | 0% | 20% | 77.80 |
| Lower Midwest | Main | Y | 4 | 100% | 0% | 0% | 101.00 |
| Upper Midwest | Main | Y | 10 | 90% | 0% | 20% | 55.67 |
| North | Main | Y | 5 | 100% | 0% | 0% | 80.60 |
| Northeast | Main | Y | 12 | 100% | 0% | 0% | 67.83 |
| Northwest | Main | Y | 4 | 100% | 0% | 0% | 56.50 |
| South Central | Main | Y | 8 | 100% | 0% | 13% | 82.00 |
| Southeast | Main | Y | 8 | 100% | 0% | 25% | 85.88 |
| Upstate NY | Main | Y | 1 | 100% | 0% | 0% | 28.00 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| John McQueen | South Carolina B | Virginia B | 48 | 10 |
| Parker McCoig | Tennessee A | Virginia Tech A | 53 | 10 |
| Jim Fan | North Carolina A | Liberty A | 85 | 10 |
| Malachi Ledford | Tusculum | Tennessee B | 92 | 10 |
| Abby Keith | Liberty B | James Madison | 95 | -5 |
| Brian Lai | Virginia A | North Carolina B | 96 | 10 |
| Ilyas Choukri | Virginia Tech B | North Carolina C | 96 | 10 |
| Wesley Stine | Clemson A | South Carolina A | 101 | 10 |
| Abbott Sherwin | NC State | Roanoke | 112 | 10 |
| Erin Williams | James Madison | Liberty B | 113 | 0 |
| Sri Lnu | Clemson B | Liberty C | 114 | 10 |