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Systems of Linear Equations
Problem 1:
1. Enter the following three matrices:
Check the following linear algebra rules:
• Compute A + B and B + A. Is matrix addition commutative?
• Compute AB and BA. Is matrix multiplication commutative?
• Compute (AB)C and A(BC). Is matrix multiplication associative?
Problem 2:
Using Matlab, find the solution x, y, z to the system of equations:
Problem 3:
For the circuits given below:
• Write down all equations you obtain from KCL, KVL, and
Ohm’s law.
• Set up a system of linear equations to calculate all voltages in the circuit.
• Using Matlab, solve the systems of linear equations.
• Determine all currents given in the circuits.