Yu Tsumura’s face

I’m Yu Tsumura.

I am a Ross Assistant Professor (aka postdoc) in Mathematics

at The Ohio State University.

### Course Webpage

Spring 2018 courses
Old courses at OSU

### Seminar at OSU

### Linear Algebra Problems by Topics

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### Categories

- Elementary Number Theory (1)
- Field Theory (26)
- General (7)
- Group Theory (126)
- Linear Algebra (485)
- Math-Magic (1)
- Module Theory (13)
- Ring theory (64)
- Welcome (1)

### MathJax

Mathematical equations are created by MathJax.
See How to use MathJax in WordPress if you want to write a mathematical blog.

### Recent Posts

- If the Nullity of a Linear Transformation is Zero, then Linearly Independent Vectors are Mapped to Linearly Independent Vectors
- Find All Values of $x$ such that the Matrix is Invertible
- Find All Eigenvalues and Corresponding Eigenvectors for the $3\times 3$ matrix
- Find All Values of $a$ which Will Guarantee that $A$ Has Eigenvalues 0, 3, and -3.
- Compute the Determinant of a Magic Square

### Top Posts

- How to Diagonalize a Matrix. Step by Step Explanation.
- Range, Null Space, Rank, and Nullity of a Linear Transformation from $\R^2$ to $\R^3$
- The Matrix for the Linear Transformation of the Reflection Across a Line in the Plane
- Two Eigenvectors Corresponding to Distinct Eigenvalues are Linearly Independent
- Eigenvalues of Real Skew-Symmetric Matrix are Zero or Purely Imaginary and the Rank is Even
- A Condition that a Linear System has Nontrivial Solutions
- Vector Form for the General Solution of a System of Linear Equations
- Solve the System of Linear Equations Using the Inverse Matrix of the Coefficient Matrix