The phrase "algebra background" is correct and usable in written English.
It can be used to refer to someone's knowledge or experience in algebra, often in educational or professional contexts.
Example: "Before enrolling in the advanced mathematics course, students are required to have a solid algebra background."
Alternatives: "algebra knowledge" or "algebra experience".
What linear algebra background do I need?
Wikipedia page on eigendecomposition provides most linear algebra background.
Math and sciences are part of the program, so applicants have to have at least an algebra background.
If you want to brush up your linear algebra background, I suggest working through this course (video lectures and homeworks available online) at your own pace: Stephen Boyd's EE263: Introduction to Linear Dynamical Systems.
In section 2, we review some basic definitions from relational algebra, the mathematical background related to fuzzy set theories and useful for this research paper.
For example, Math 222 is a course on Lie Groups and Lie Algebras that draws on background material from Analysis, Algebra and Geometry.
Aimed at researchers and graduate students with an advanced background in algebra, these lectures were given during the Commutative Algebra program held at the Vietnam Institute of Advanced Study in Mathematics in the winter semester 2013 -2013.
Required background: linear algebra, calculus equivalent to MATH 19 and MATH 20, basic probability theory and complex numbers.
For those who say this is a prime example of how science gets neglected by No Child Left Behind's focus on math and reading scores, Ms. Sclafani says, "If they don't get the math background before Algebra 1, they won't have the mathematics to do math or science in high school".
Students require background in linear algebra, multivariable calculus, and programming.
Prerequisites: Background in linear algebra and probability and statistics.
