| 1. | It is important to distinguish matrices from determinants .
将矩阵与行列式相区分是重要的。 |
| 2. | For finite-dimensional spaces determinants can be brought into play .
在有限维空间中可以运用行列式。 |
| 3. | The determinant can be evaluated from the cofactors of any column .
行列式可根据任何一列余因子来求算。 |
| 4. | This determinant is a special case of the resultant of two polynomials .
这个行列式是两个行列式的结式的特殊情形。 |
| 5. | If you are familiar with determinants, you can confirm readily the representation .
你如果熟悉行列式，就容易确信表达式 |
| 6. | If all elements in one row or one column are zero, the determinant is zero .
如果一行或一列中的所有元素均为零，则行列式为零。 |
| 7. | When any two rows or two columns are interchanged, the sign of the determinant is changed .
当任何两行或两列互换时，行列式的正负号改变。 |
| 8. | We should distinguish the square bracket from two straight bars enclosing a determinant .
我们应将方括号与用以围住行列式的两条直线区别开。 |
| 9. | We showed that a determinant in diagonal form is equal to the product of the diagonal elements .
我们已证明一对角形行列式等于其对角元素的乘积。 |
| 10. | When the determinant is expanded, it produces a polynomial, called the characteristic polynomial .
当行列式展开后，得到一个多项式，叫它为特征多项式。 |
