Award-Winning Linear Algebra Tutors
serving Nashville, TN

Vector spaces, eigenvalues, and matrix decompositions can feel impossibly abstract without someone who lives in that world daily. As a PhD student in mathematics at the University of Memphis with degrees from Delhi University and IIT Bombay, Monika teaches Linear Algebra with the depth of someone who uses these tools in her own research. She unpacks proofs and computational techniques side by side so students see both the logic and the application.

I'm a graduate student in Applied Statistics with experience in general math and computer programming to boot. I currently have a PhD in Applied Statistics with experience in data analytics. I've had the opportunity to do some math and statistics work for hospitals and research facilities, and I enjoy getting to share my passion for math with others to assist them in their education.

Aerospace engineering runs on linear algebra — from coordinate transformations in flight dynamics to solving systems that model structural loads. Aubrey uses these tools daily in her coursework at the University of Tennessee, so she teaches eigenvalues, matrix decompositions, and vector spaces with the kind of intuition that comes from applying them to real engineering problems.

A year as a course assistant in Harvard's math department — teaching introductory calculus — gave Richard a front-row seat to where students first stumble with abstraction, a skill that translates directly to linear algebra's shift from matrix arithmetic to reasoning about vector spaces and linear maps. His government major might seem unrelated, but formal logical argumentation is central to both fields, and he leans on that structured thinking when breaking down proofs involving span, basis, and dimension.

Studying physics at Stony Brook means Kiran has diagonalized Hamiltonians, decomposed tensors, and solved coupled systems where linear algebra isn't a separate course but the backbone of every calculation. That physics-native fluency is especially useful for teaching determinants, eigenvectors, and change-of-basis — he can explain what these operations actually do to a system rather than just how to execute them. Rated 4.7 by students.

Training at ETH Zurich's applied math program means Shahnawaz worked through linear algebra at a level where concepts like spectral decompositions, Jordan normal forms, and singular value factorizations were prerequisites for more advanced coursework — not endpoints. He digs into the geometric intuition behind abstract definitions, showing students what a null space or eigenvector actually looks like before formalizing the algebra around it. Rated 4.9 by students.

Kaitlin's linguistics training — parsing formal grammars, mapping structural relationships, building logical proofs about language systems — translates surprisingly well to the abstract reasoning linear algebra demands. She tackles concepts like span, linear independence, and basis by treating them as structural puzzles rather than purely computational exercises. It's an approach that clicks especially well for students who struggle when the course shifts from row reduction to proof-writing.

Eigenvalues, vector spaces, and matrix decompositions sit at the heart of nearly every applied math discipline — and Dr's Ph.D. in Applied Mathematics means he's used these tools in practice, not just taught them from a textbook. He unpacks abstract proofs by tying them to concrete computations, so students see why a basis matters before they're asked to find one. That combination of theory and application is especially useful for students heading into data science, physics, or engineering coursework.

I graduated from Dartmouth College with a double major, receiving a Bachelor of Arts in both Biochemistry/Molecular Biology and Music. I continued my education at Columbia University and received Master of Arts in Biology. Starting in middle school and continuing through my graduate career, I have tutored students in a wide variety of subjects, but I was most effective at tutoring math and science because of my lifelong love and aptitude for these subjects. Since I am also working towards a career in molecular biology, I use math and science every day, and I can explain real-world applications and uses for these subjects that may not seem obvious. By demonstrating the use of math and science in everyday life, I am able to help interact with the student and increase their interest in a subject in which they may experience difficulty. I also believe that as a tutor, it is my responsibility to engage with the student to help them achieve and even surpass their goals. In my spare time, I am heavily involved with music in New York City, being part of multiple choirs and continuing to play piano. I also enjoy exercising and exploring the city whenever I have the chance.

I am a senior with a Neuroscience major at Swarthmore College. My favorite subjects include Biology and Psychology. I am interested in teaching students how to develop a better grasp of their academic material, improve their learning skills, and succeed in whatever course they take. Outside of the classroom, I enjoy playing violin, reading, and traveling. I also have extensive community service experience and have traveled to China, Kenya, and the Dominican Republic to engage in volunteer work.

Rebecca's background is in international development and sociology rather than pure mathematics, so she approaches linear algebra as someone who had to build real understanding of matrix operations, systems of equations, and transformations from the ground up. That perspective makes her especially effective at breaking down the logic behind each step — she remembers what it's like when row reduction or determinant properties don't yet feel intuitive. Rated 5.0 by students.

Eigenvalues, vector spaces, and matrix transformations can feel impossibly abstract the first time through. As a math major at Georgia Tech, Sally has worked through linear algebra at a proof-based level and can unpack ideas like span and linear independence using concrete geometric intuition alongside the formal definitions.

I am passionate about the importance of math and science, I enjoy making them more relatable to a student by explaining their real world applications whenever possible.

Chemical engineering coursework throws you into systems of linear equations, matrix operations, and eigenvalue problems long before you've had time to fully digest the theory — so Adrian knows firsthand which concepts trip students up and which shortcuts actually hold up under pressure. He breaks down topics like determinants, row reduction, and vector space definitions by tying them back to the material and energy balance problems where they naturally show up, giving the abstraction a concrete anchor.

Mechanical engineering PhD work means Ian solves systems of equations, decomposes matrices, and manipulates eigenvalue problems as routine steps in modeling heat transfer and fluid flow — so he teaches linear algebra with the instinct of someone who depends on it daily. He's particularly good at demystifying abstract operations like matrix factorizations and determinant properties by tying them back to the physical systems they describe. Rated 4.9 by students.