Virginia Tech MATH 2114: Introduction to Linear Algebra
MATH 2114 is Virginia Tech's first linear algebra course, covering systems of equations, matrix algebra, vector spaces, linear transformations, and eigenvalues. It's required across engineering, CS, and the mathematical sciences, with sections that lean on common assessments and online homework.
Fennie is independent and not affiliated with Virginia Tech. This is an unofficial study guide.
What makes it hard
The course starts as comfortable computation (row reduction, matrix arithmetic) and then pivots to abstraction: span, independence, subspaces, linear transformations, where the questions stop being 'compute this' and become 'is this true and why.' Students who coast on the computational opening get caught by the conceptual middle.
What you'll cover
- • Systems of linear equations and row reduction
- • Matrix algebra and inverses
- • Determinants
- • Vector spaces, span, and linear independence
- • Linear transformations
- • Eigenvalues and eigenvectors
The MATH 2114 study guide
How to study for Virginia Tech MATH 2114, step by step.
- 1
Bank the computational points early
Row reduction and matrix arithmetic should be fast and error-free within two weeks. They're the course's free points and the substrate for everything abstract that follows.
- 2
Translate every concept into all three languages
Each linear algebra idea has an algebraic, geometric, and matrix form. For span, independence, and transformations, practice moving between the three. Exam questions pick whichever you didn't study.
- 3
Practice true/false-with-justification questions
The conceptual middle of the course tests whether statements about subspaces and independence are true and why. Drill these explicitly; they're a different skill from computation and they decide the curve.
- 4
Make the eigenvalue pipeline clean
Characteristic polynomial, eigenvalues, eigenvectors, diagonalization: drill the full chain until it runs without thought. It's the course's finale and the piece later courses assume.
Today
Today's MATH 2114 plan
What a Fennie Daily Plan looks like for MATH 2114. Yours is built from your own syllabus and adapts every day to your deadlines and progress.
First plan free, no card required. Fennie is independent and unaffiliated with your school.
FAQ
Is MATH 2114 at Virginia Tech hard?
The computation is easy; the abstraction is the filter. Span, independence, and linear transformations demand 'is this true and why' reasoning that the comfortable opening weeks don't prepare you for unless you practice concept questions deliberately.
What do I need before MATH 2114?
MATH 1226 or equivalent calculus credit per the standard prerequisite chain. The actual mathematical demand is algebra fluency and willingness to reason abstractly. Calculus content barely appears.
How do I study for MATH 2114 exams?
Get row reduction and matrix arithmetic automatic early, then spend most study time on conceptual questions: true/false with justification about span, independence, and subspaces. Practice expressing each concept algebraically, geometrically, and in matrix form.
More Virginia Tech courses
MATH 1225: Calculus of a Single Variable I
MATH 1225 is Virginia Tech's Calculus I (limits, derivatives, applications of differentiation, and the start of integration), the gateway for engineering, science, and CS students. Grading runs through four common-time midterms outside class hours, a common final, online homework, and computer-based gateway exams at the Math Emporium.
MATH 1226: Calculus of a Single Variable II
MATH 1226 continues Virginia Tech's calculus sequence with integration techniques, applications of integrals, sequences and series, and parametric and polar topics, under the same common-exam structure as 1225, with Emporium gateway exams on integration skills.
MATH 2204: Introduction to Multivariable Calculus
MATH 2204 extends Virginia Tech's calculus sequence to several variables: partial derivatives, gradients, optimization, multiple integrals, and an introduction to vector calculus. It's required for most engineering and physical science majors after MATH 1226.
MATH 2214: Introduction to Differential Equations
MATH 2214 is Virginia Tech's ordinary differential equations course, covering first-order equations, linear second-order equations, systems, and Laplace transforms. It's a core requirement across engineering that puts the full calculus sequence to work on the equations engineering models are made of.