Seminar at OSU
Linear Algebra Problems by Topics
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- 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
- How to Diagonalize a Matrix. Step by Step Explanation.
- Determine Whether Each Set is a Basis for $\R^3$
- Find a Formula for a Linear Transformation
- Express a Vector as a Linear Combination of Other Vectors
- The Determinant of a Skew-Symmetric Matrix is Zero
- Eigenvalues of a Hermitian Matrix are Real Numbers
- Eigenvalues of Real Skew-Symmetric Matrix are Zero or Purely Imaginary and the Rank is Even
- The Matrix for the Linear Transformation of the Reflection Across a Line in the Plane