The objective of this laboratory assignment is to develop proficiency in fundamental MATLAB programming and matrix algebra.The core technical challenge involves three distinct areas:Matrix Manipulation: Users must define, index, and manipulate multi-dimensional arrays, performing operations such as transposition, concatenation, and element-wise arithmetic.Linear Systems: The project requires setting up and solving systems of linear equations of the form $A\mathbf{x} = \mathbf{b}$ using MATLAB's backslash operator to find unknown vector variables.Control Logic: The final phase involves implementing algorithmic logic, specifically utilizing for and while loops to compute geometric series summations and designing a user-defined piecewise function using if-elseif-else conditional statements.