Linear Algebra
Survival Guide
Lecture Notes
Practice Problems
Solutions
Quizzes
Ask a Question
Responses
Survival Guide
Lecture Notes
Practice Problems
Solutions
Quizzes
Ask a Question
Responses
"Will Isomorphism be in the exam?"
Re: Midterm - isomorphisms
"At the circle ‘rows’ Can it be column?"
Re: Lecture 5 - Orthogonal matrices
"We can check both span and linear independent in one time by finding det, can't we?"
Re: Determinants & linear independence
"In practice problem 6, no.18 a and b, why can’t we use the formula A* = Q-1AP?"
Re: Problems 6 - Q18
"Is checking whether the sets with the standard opeartions from a vector space or not be on exam?"
Re: Vector axioms midterm
"What is the difference on finding null space and column space?"
Re: Column/Null spaces
"Can you please let us know if Least Square will be on the midterm exam?"
Re: Midterm
"When you has the repeated eigenvalue (eg. repeated 2 times as multiplicity, 2), does it matter to the solution?"
Re: Eigenvalue Multiplicity
"Is there any difference between “span in line” and “span in plane”?"
Re: Span subspaces
"
I don't know why it can be eigen like this"
Re: Problems 7 - Question 4
"Can i solve it backward by finding W first then use[W]b' × b' = W to find [W]b'"
Re: Problems 6 - Question 18
"
will 10 axioms be on the exam?"
Re: Midterm
"Can you explain why and how we can check spanning by using determinant?"
Re: Problems 2 - Questions 11 & 12
"Could you please mention more detail about mid term exam."
Re: Midterm
"Why do we use P as B' since P is B and Q is B' or I misunderstand?"
Re: Problems 6 - Question 19
"why for the X1 we use an eigenvector from the first rank?"
Re: Problems 7 - Question 14c
"Are there any formulas sheet in mid-term exam?"
Re: Midterm
"Is the solution correct?"
Re: Problems 7 - Question 14c
"how is it jordan normal?"
Re: Problems 7 - Question 13i
"Could you please show us the method to find B in practice problem 7, question 10b please"
Re: Problems 7 - Question 10b
"Practice problem7, question 13d, it is not Jordan normal form, is it?"
Re: Problems 7 - Question 13d
"Practice problem3 (4c) Why is it not correct?"
Re: Problems 3 - Question 4c
"Do we use “Row echelon form” or “Redueced Row echelon form” in order to find a basis for “Row space”?"
Re: Problems 3 - Question 4
"Practice problem 9b How 2/3root6 change to 61.87"
Re: Problems 4 - Question 9a
"Which program do you use to create the survival guide?"
Re: Survival guide
"Practice problem 3 How do you know that the matrix should be rightward (2c) or downward (2f),(2g)"
Re: Problems 3 - Question 2
"Practice problem 3 (3b) Your x2 should equal -1/4x3-x4? Or your solution is already correct?"
Re: Problems 3 - Question 3b
"I don't understand how to change into eigenvector"
Re: Problems 7 - Question 3b
"Why did you use 2 different solution methods?"
Re: Problems 5 - Question 9
"Why did you not write (-1,3)^T in your solution?"
Re: Problems 3 - Question 10a
"Enough to check determinant for linear independence?"
Re: Problems 2 - Question 13
"Why do I need to choose first 2 column?"
Re: Problems 5 - Question 6
"What are the differences [x]b , [x]b',[x]s ?"
Re: Coordinates
"Why sin 2t not sin t cos t?"
Re: Problems 3 - Question 1g
"Should the rank be 4 instead?"
Re: Problems 3 - Question 6c
"Is it the same to write the answer of basis in row or column?"
Re: Format of vectors
"The answer from finding a basis by using both ways are not be the same, are they?"
Re: Basis for column space
"The sentence "whose graphs pass through the origin" it can mean that 0 be in vector space? "
Re: Problems 2 - Question 2c
"Can you explain some points about LU factorisation?"
Re: Lecture 1 - Example 3.2
"Can I use another transition matrix?"
Re: Transition matrices
"Are there any shortcut for finding E^(-1)?"
Re: Lecture 1
"Does the row reduction be (-3 x row1) + row2 and it should transform to -2 1 0 1 not -2 1 0 7?"
Re: Problems 1 - Question 18a
"Are there many solutions of finding a product of elementary matrices?"
Re: Lecture 1
"Are LU factorisations unique?"
Re: Problems 1 - Question 18c.
"From lecture 1 page 12, should E3 be 1 0 -3/2 1/2 not 1 0 0 1/2?"
Re: Lecture 1 - Example 2.2.
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