MATH 290/287(LA): LINEAR ALGEBRA
TEMPLATE NOTES FOR LYRYX/KUTTLER
CHAPTERS 1-7 AND 9
About these notes:
These notes were written based on the videos for this My Open Math Linear
Algebra online template. The content of these notes is based on specific
sections of the book and specific videos with in each section. These notes
are the same as the agendas, but space is provided for note taking. The
videos that these notes are bosed from are embedded in the RA-LA MOM
assignments.
• Print these notes. I recommend printing all of them, having them
three-hole punched, and keep them in a binder. As you move through
the RA-LA assignments, take notes on these template notes, giving
you reference material as you complete RA-LA homework problems.
Of course, you may choose to download these notes, so you can take
notes using a writeable device (tablet, Ipad, etc.).
• When you plan to begin learning a specific section, just start the RA-
LA assignment (found on MOM calendar). Take notes and do
homework problems as they arise.
• Alternatively, select the desired chapter from the course content folder
to find the RA-LA assignments as well as a link to the desired
textbook section.
, TABLE OF CONTENTS
READING ASSIGNMENT (RA-LA) SECTION PAGE
RA-LA 1 3
RA-LA 2 9
RA-LA 3 15
RA-LA 4 18
RA-LA 5 21
RA-LA 6 27
RA-LA 7 34
RA-LA 8 38
RA-LA 9 44
RA-LA 10 47
RA-LA 11 52
RA-LA 12 57
RA-LA 13 64
RA-LA 14 74
RA-LA 15 77
RA-LA 16 79
RA-LA 17 81
RA-LA 18 87
RA-LA 19 93
ARRPNDIX 98 (begins)
Spaces, Subspace, and Spann…Oh my 98
(after RA-LA 11)
Eigen Project (after RA 18 and 19) 104
, RA-LA 1 (1.1-1.2.1)
VIDEO #1
SUBSTITUTION
Steps
Example Intro:
Consider the systems of equations.
𝑦 = 2𝑥
! (
𝑥+𝑦 =3
Example 1:
Solve the systems of equations using substitution.
3𝑥 − 2𝑦 = 16
! (
2𝑥 + 𝑦 = 20
, Example 2:
Solve the system of equations using substitution.
5𝑥 − 4𝑦 = 9
! (
𝑥 − 2𝑦 = −3
Example 3:
Solve the system of equations using substitution.
3𝑥 + 𝑦 = 5
! (
6𝑥 + 2𝑦 = 11
Example 4:
Solve the system of equations using substitution.
𝑥 − 𝑦 = −1
! (
𝑦 =𝑥+1
TEMPLATE NOTES FOR LYRYX/KUTTLER
CHAPTERS 1-7 AND 9
About these notes:
These notes were written based on the videos for this My Open Math Linear
Algebra online template. The content of these notes is based on specific
sections of the book and specific videos with in each section. These notes
are the same as the agendas, but space is provided for note taking. The
videos that these notes are bosed from are embedded in the RA-LA MOM
assignments.
• Print these notes. I recommend printing all of them, having them
three-hole punched, and keep them in a binder. As you move through
the RA-LA assignments, take notes on these template notes, giving
you reference material as you complete RA-LA homework problems.
Of course, you may choose to download these notes, so you can take
notes using a writeable device (tablet, Ipad, etc.).
• When you plan to begin learning a specific section, just start the RA-
LA assignment (found on MOM calendar). Take notes and do
homework problems as they arise.
• Alternatively, select the desired chapter from the course content folder
to find the RA-LA assignments as well as a link to the desired
textbook section.
, TABLE OF CONTENTS
READING ASSIGNMENT (RA-LA) SECTION PAGE
RA-LA 1 3
RA-LA 2 9
RA-LA 3 15
RA-LA 4 18
RA-LA 5 21
RA-LA 6 27
RA-LA 7 34
RA-LA 8 38
RA-LA 9 44
RA-LA 10 47
RA-LA 11 52
RA-LA 12 57
RA-LA 13 64
RA-LA 14 74
RA-LA 15 77
RA-LA 16 79
RA-LA 17 81
RA-LA 18 87
RA-LA 19 93
ARRPNDIX 98 (begins)
Spaces, Subspace, and Spann…Oh my 98
(after RA-LA 11)
Eigen Project (after RA 18 and 19) 104
, RA-LA 1 (1.1-1.2.1)
VIDEO #1
SUBSTITUTION
Steps
Example Intro:
Consider the systems of equations.
𝑦 = 2𝑥
! (
𝑥+𝑦 =3
Example 1:
Solve the systems of equations using substitution.
3𝑥 − 2𝑦 = 16
! (
2𝑥 + 𝑦 = 20
, Example 2:
Solve the system of equations using substitution.
5𝑥 − 4𝑦 = 9
! (
𝑥 − 2𝑦 = −3
Example 3:
Solve the system of equations using substitution.
3𝑥 + 𝑦 = 5
! (
6𝑥 + 2𝑦 = 11
Example 4:
Solve the system of equations using substitution.
𝑥 − 𝑦 = −1
! (
𝑦 =𝑥+1
