Blogs about: Linear Algebra
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Challenging problem in Linear Algebra
Let Solve the following matrix equation where… more →
Mathematics in HKCEE, HKAL, and Beyond
Challenging problem in Linear Algebra
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koopakoo wrote 3 months ago: Let Solve the following matrix equation where … more →
Concept Check for my Linear Algebra Students
koopakoo wrote 3 months ago: Let (E) be the following system: Let be the augmented matrix. Determine whether the following statem … more →
A possible HKAL Pure problem?
koopakoo wrote 8 months ago: Let (a) By expanding the determinant along the last row (or otherwise), show that det(A) is a cubic … more →
Preparing for the Exam (2)
koopakoo wrote 9 months ago: Here are a collection of relatively easy problems: 1) Can you find a 4 by 4 matrix, that is NOT uppe … more →
Answer to Basic Linear Algebra Questions (1)
koopakoo wrote 9 months ago: The following is a list of basic questions you should know how to answer (by heart) (1) Suppose are … more →
Hints to Selected Problems in HW 5
koopakoo wrote 9 months ago: For 3. Answer the following mini questions: (a) Let A = B + I, what is rank(A)? (b) What is (c) If , … more →
Preparing for the Linear Algebra Final (1)
koopakoo wrote 9 months ago: The following is a list of basic questions you should know how to answer (by heart) (1) Suppose are … more →
Magic Squares (Proof)
koopakoo wrote 9 months ago: In this post, we will prove two things: Let be the space of by magic squares. 1) That if , then for … more →
Hints to Selected Problems in HW 4
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koopakoo wrote 9 months ago: 1b: Use part (a), Proposition 4.41 and rank-nullity. 2c: Use 2b, and HW problem 3a. 2e: what are the … more →
Questions concerning Magic Squares and Matrices
koopakoo wrote 9 months ago: A magic square is such that all row sums, column sums, and diagonal sums are equal, and we call this … more →
Hints to Selected Problems in HW 3
koopakoo wrote 9 months ago: Many of you were stuck in problem 1, and I think part of the reason is that you have trouble underst … more →
Mid-term Solutions and Analysis
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koopakoo wrote 9 months ago: Problem 1. Determine whether the following matrix is invertible: Solution: This is a Vandermonde mat … more →
Vandermonde Determinant
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koopakoo wrote 10 months ago: The matrix is of special interests and it is given a name called the Vandermonde matrix. It shows up … more →
Math 308 (1) The "Mod Trick"
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koopakoo wrote 10 months ago: One of the reasons why it is difficult to compute the determinant of a given matrix is because the d … more →
