1) Find the adjacency matrix M for the following graph (see attached)1a) Find M^2,M^3,M^4. What do the entries represent? 1b)Express the transitive closure of a general graph G in terms of its adjacency matrix. The diagram illustrates the control process in a closed-loop control system, commonly used in engineering and automation.**Components and Pathways:**1. **Reference Input (Setpoint)** - The desired value or goal for the system's output.2. **Comparator** - Compares the reference input with the feedback signal (actual output). - Determines the error signal, which is the difference between the desired and actual outputs.3. **Controller** - Processes the error signal to generate a control signal. - The goal is to minimize the error.4. **Actuator (Process)** - Implements the control signal, adjusting the system to align the actual output with the reference input.5. **Output (Controlled Variable)** - The actual value resulting from the control process.6. **Feedback Loop** - Provides the actual output back to the comparator for continuous assessment and adjustment.The red arrows indicate the flow of signals through the system: from the reference input to the comparator, through the controller, to the actuator, and finally as feedback for recalibration. This loop continues until the system reaches the desired output. This closed-loop system ensures that any disturbances are corrected automatically, maintaining stable and desired operation.

Adjacency Matrix is a square matrix used to describe a graph. It contains rows and columns that…

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1) Find the adjacency matrix M for the following graph (see attached) 1a) Find M^2,M^3,M^4. What do the entries represent? 1b)Express the transitive closure of a general graph G in terms of its adjacency matrix.