Seminar at OSU
Linear Algebra Problems by Topics
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- Group Homomorphism from $\Z/n\Z$ to $\Z/m\Z$ When $m$ Divides $n$
- Subspace Spanned by Trigonometric Functions $\sin^2(x)$ and $\cos^2(x)$
- Is the Set of All Orthogonal Matrices a Vector Space?
- Linear Transformation $T:\R^2 \to \R^2$ Given in Figure
- Eigenvalues of $2\times 2$ Symmetric Matrices are Real by Considering Characteristic Polynomials
- How to Diagonalize a Matrix. Step by Step Explanation.
- Is an Eigenvector of a Matrix an Eigenvector of its Inverse?
- Find the Inverse Matrix Using the Cayley-Hamilton Theorem
- Eigenvalues of a Hermitian Matrix are Real Numbers
- Eigenvalues of Real Skew-Symmetric Matrix are Zero or Purely Imaginary and the Rank is Even
- Range, Null Space, Rank, and Nullity of a Linear Transformation from $\R^2$ to $\R^3$
- Prove a Group is Abelian if $(ab)^2=a^2b^2$
- Examples of Prime Ideals in Commutative Rings that are Not Maximal Ideals
- The Ideal $(x)$ is Prime in the Polynomial Ring $R[x]$ if and only if the Ring $R$ is an Integral Domain