前置知识 → 矩阵依据Editorial suggested sequence; verify the course context. [linear-algebra]
讲解 → 行列式依据Candidate from reviewed zh material v1: 对实方阵，行列式是带符号的数。在二维例子中，它的绝对值是列向量张成的平行四边形面积；符号记录定向。
讲解 → 行列式依据Candidate from reviewed en material v1: For real square matrices, the determinant is a signed scalar. In the planar example its absolute value is the area of the parallelogram spanned by the columns. The sign records orientation.
内容位置 → 行列式依据Candidate from reviewed zh material v1: 对实方阵，行列式是带符号的数。在二维例子中，它的绝对值是列向量张成的平行四边形面积；符号记录定向。
内容位置 → 行列式依据Candidate from reviewed en material v1: For real square matrices, the determinant is a signed scalar. In the planar example its absolute value is the area of the parallelogram spanned by the columns. The sign records orientation.
内容位置 → 矩阵行列式的几何意义｜工程师和小土豆依据Candidate from reviewed en material v1: For real square matrices, the determinant is a signed scalar. In the planar example its absolute value is the area of the parallelogram spanned by the columns. The sign records orientation.
讲解 → 行列式依据Candidate from reviewed en material v1: For real square matrices, the determinant is a signed scalar. In the planar example its absolute value is the area of the parallelogram spanned by the columns. The sign records orientation.
math