Running head: APPLICATIONS OF LINEAR ALGEBRA IN COMPUTER ENGINEERING
FIELD1
Applications of Linear Algebra in Computer Engineering Field
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Course
Instructor’s Name
Date
This study source was downloaded by 100000858663287 from CourseHero.com on 12-21-2022 11:33:21 GMT -06:00
https://www.coursehero.com/file/101477697/Applications-of-Linear-Algebra-in-Computer-Engineering-Fieldediteddocx/
, APPLICATIONS OF LINEAR ALGEBRA IN COMPUTER ENGINEERING 2
Applications of Linear Algebra in Computer Engineering Field
Linear algebra provides ideas crucial to numerous areas in computer science. These areas are
graphics, cryptography, machine learning, computer vision, image processing, quantum
computation, web search, and information retrieval. Linear algebra is built with two essential
elements, the vector, and the matrix. The applications that will be discussed in the paper are
electrical circuits, determinant, genetics, and graph theory.
Electrical circuits
An electric circuit is a 'closed connection' of resistors, wires, and batteries. They consist of
current nodes and voltage loops. The electrical circuit measures some of the physical qualities.
Current is denoted by I and measured in Amperes A, resistance is symbolized by R and measures
in Ohms (W) electrical potential difference is measured in volts (V) and denoted by V.
Additionally, some laws govern the flow of currents in the electrical circuit. These laws are
Ohm's Law, Kirchhoff's Voltage Law, and Kirchhoff's Current Law. Circuits are also
categorized into two methods that are parallel and series circuits. Circuits with parallel and series
circuits break the circuit in portions of parallel and series and calculate the portions and use the
values to calculate resistance in the whole circuit (Neri, 2019). Each series calculates the total
resistance in the path. The values are used with the assumption the paths are single resistors in
calculating the total circuit resistance. There are rules used like solving linear systems to solve
problems in electrical circuits. In-circuit currents with enough values, potential difference, and
resistance are known; we can find other unknown values of the quantities. The Ohm's Law,
Kirchhoff's Voltage Law, and Kirchhoff's Current Law are mainly used.
For example, when using the laws, currents are assigned to each circuit between node points.
Two node points give three different currents that are assumed to be in the clockwise direction.
This study source was downloaded by 100000858663287 from CourseHero.com on 12-21-2022 11:33:21 GMT -
https://www.coursehero.com/file/101477697/Applications-of-Linear-Algebra-in-Computer-Engineering-
FIELD1
Applications of Linear Algebra in Computer Engineering Field
Name
Course
Instructor’s Name
Date
This study source was downloaded by 100000858663287 from CourseHero.com on 12-21-2022 11:33:21 GMT -06:00
https://www.coursehero.com/file/101477697/Applications-of-Linear-Algebra-in-Computer-Engineering-Fieldediteddocx/
, APPLICATIONS OF LINEAR ALGEBRA IN COMPUTER ENGINEERING 2
Applications of Linear Algebra in Computer Engineering Field
Linear algebra provides ideas crucial to numerous areas in computer science. These areas are
graphics, cryptography, machine learning, computer vision, image processing, quantum
computation, web search, and information retrieval. Linear algebra is built with two essential
elements, the vector, and the matrix. The applications that will be discussed in the paper are
electrical circuits, determinant, genetics, and graph theory.
Electrical circuits
An electric circuit is a 'closed connection' of resistors, wires, and batteries. They consist of
current nodes and voltage loops. The electrical circuit measures some of the physical qualities.
Current is denoted by I and measured in Amperes A, resistance is symbolized by R and measures
in Ohms (W) electrical potential difference is measured in volts (V) and denoted by V.
Additionally, some laws govern the flow of currents in the electrical circuit. These laws are
Ohm's Law, Kirchhoff's Voltage Law, and Kirchhoff's Current Law. Circuits are also
categorized into two methods that are parallel and series circuits. Circuits with parallel and series
circuits break the circuit in portions of parallel and series and calculate the portions and use the
values to calculate resistance in the whole circuit (Neri, 2019). Each series calculates the total
resistance in the path. The values are used with the assumption the paths are single resistors in
calculating the total circuit resistance. There are rules used like solving linear systems to solve
problems in electrical circuits. In-circuit currents with enough values, potential difference, and
resistance are known; we can find other unknown values of the quantities. The Ohm's Law,
Kirchhoff's Voltage Law, and Kirchhoff's Current Law are mainly used.
For example, when using the laws, currents are assigned to each circuit between node points.
Two node points give three different currents that are assumed to be in the clockwise direction.
This study source was downloaded by 100000858663287 from CourseHero.com on 12-21-2022 11:33:21 GMT -
https://www.coursehero.com/file/101477697/Applications-of-Linear-Algebra-in-Computer-Engineering-
