Network Flow Problem

(See attached file for full problem description) --- - Determine the general flow pattern in the street network shown in the diagram. ---

Steady-state temperature distribution of a thin metal plate

(See attached file for full problem description)

Electrical Networks

(See attached file for full problem description) --- - Determine the loop circuits in the electrical network shown in the diagram... ---

Eigenvalues and Eigenvectors

Find the eigenvalues and eigenvectors of the matrix: (see the attached file)

Systems of Linear Algebraic Equations

(See attached file for full problem description with equations) --- Consider the system: a) Rewrite using matrix notation b) show that the following vectors , Are solutions and they are linearly independent c)write the general solution of the system ---