Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Videos > Question Bank for GATE Computer Science Engineering > Linear Algebra: System of Linear Equations
Linear Algebra: System of Linear Equations Video Lecture | Question Bank for GATE Computer Science Engineering - Computer Science Engineering (CSE)
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FAQs on Linear Algebra: System of Linear Equations Video Lecture - Question Bank for GATE Computer Science Engineering - Computer Science Engineering (CSE)
| 1. What is a system of linear equations? |  |
Ans. A system of linear equations is a set of equations where each equation is a linear combination of the same variables. The goal is to find values for the variables that satisfy all the equations simultaneously.
| 2. How is linear algebra related to computer science engineering (CSE)? | |
Ans. Linear algebra is an essential mathematical tool in computer science engineering. It is used in various areas such as computer graphics, machine learning, data analysis, and cryptography. Linear algebra allows CSE professionals to solve complex problems efficiently and manipulate data effectively.
| 3. What methods are commonly used to solve a system of linear equations? | |
Ans. There are several methods to solve a system of linear equations, including Gaussian elimination, matrix inversion, and Cramer's rule. Gaussian elimination is widely used as it simplifies the system into row-echelon form, making it easier to find the solution.
| 4. Can a system of linear equations have no solution? | |
Ans. Yes, a system of linear equations can have no solution. This occurs when the equations are inconsistent and represent parallel lines or planes in higher dimensions. In such cases, the system is said to be inconsistent, and there is no common solution that satisfies all the equations simultaneously.
| 5. Are there any real-life applications of systems of linear equations in computer science engineering? | |
Ans. Yes, systems of linear equations have numerous real-life applications in CSE. For example, in computer graphics, they are used to model transformations, solve problems related to 3D rendering, and simulate physical phenomena. In machine learning, systems of linear equations are employed to estimate model parameters and make predictions based on data. These are just a few examples, and linear algebra finds applications in various other domains within CSE.
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