问题1：什么叫证明？ 问题2：常见的证明方法有哪些？ 问题3：什么是猜想？有哪些有意思的猜想？

问题1：如何基于命题逻辑进行推理？ 问题2：什么是(一阶)谓词逻辑？ 问题3：如何基于谓词逻辑进行推理？

问题1：什么是命题逻辑？ 问题2：如何判断命题表达式的真假？ 问题3：如何判定命题可满足？

Introduction Definition Induced Norm–Matrix p-Norms One Norm Infinity Norm Norm of a Product Two Norm Frobenius Norm Norm of a Submatrix Exercises Comprehensive Problems

Introduction Definition Two Important Inequalities Exercises Normwise Errors Comprehensive Problems H¨old Inequality again

Unitary and Orthogonal Matrices Application 1: Givens rotation Application 2: Permutation matrix Discovery Journey References

1 Introduction 2 Existence of an Inverse 3 Some Properties 4 Sherman-Morrison Formula 5 Inverse of a Partitioned Matrix 6 Discovery Journey 7 Comprehensive Problems

Transpose and Conjugate Transpose Inner and Outer Products, Again Symmetric and Hermitian Matrices Exercises

Hilbert Matrix Hilbert Matrix Circulant Matrix Toeplitz Matrix Hankel Matrix Vandermonde Matrix Summary & Questions Extensive reading

电子科技大学：《矩阵理论 Matrix Theory》课程教学资源（课件讲稿）04 Matrix space and special ones