# Find Initial Position, Velocity Vector, and Speed From Position Vector Equation (2D)

This video explains how to find the initial position vector, velocity vector, and speed from a given vector equation.

# Ex: Find the Eigenvalues of a 4×4 Matrix

This video explains how to determine the eigenvalues of a given matrix.

# Ex 2: Find the Eigenvalues and Corresponding Unit Eigenvectors of a 2×2 Matrix

This video explains how to find the eigenvalues and corresponding unit eigenvectors of a 2×2 matrix.

# Ex 1: Find the Eigenvalues and Corresponding Eigenvectors of a 3×3 Matrix

This video explains how to find the eigenvalues and corresponding eigenvectors of a 3×3 matrix.

# Ex 2: Find the Eigenvalues and Corresponding Unit Eigenvectors of a 3×3 Matrix

This video explains how to find the eigenvalues and corresponding unit eigenvectors of a 3×3 matrix.

# Ex: Find the Trace and Determinant of a 3×3 Matrix Using Eigenvalues

This video explains how to determine the trace and determinant of a 3×3 matrix using eigenvalues.

# Ex 1: Find the Eigenvalues and Corresponding Eigenvectors of a 2×2 Matrix

This video explains how to find the eigenvalues and corresponding eigenvectors of a 2×2 matrix.

# Ex: Find the Corresponding Eigenvectors Given an Eigenvalues (Complex)

This video explains how to find the corresponding eigenvectors given a complex eigenvalue of a 2×2 matrix.

# Ex: Determine if Vectors are Linearly Independent or Linearly Dependent (Dependent)

This video explains how to determine if a set of vectors are linearly independent or linearly dependent.  If the vectors are dependent, one vector is written as a linear combination of the other vectors.

# Ex: Determine if Vectors are Linearly Independent or Linearly Dependent (Independent)

This video explains how to determine if a set of vectors are linearly independent or linearly dependent.  If the vectors are dependent, one vector is written as a linear combination of the other vectors.