5

Credit

3
+
2
+
0

Lect + Tuto + Pract

Teaching Scheme

70
+
30
+
0

ESE + PA + ALA

Theory Marks

30
+
0
+
20

ESE + OEP + PA

Practical Marks

**ESE** - End Semester Examination, **PA** - Progress Assessment, **ALA** - Active Learning Assignments, **OEP** -Open Ended Problem

Determinants and their Properties. Matrices, Types of Matrices, Algebraic Operations
on Matrices, Transpose of a Matrix, Symmetric and Skew Symmetric Matrices, Elementary
Operation (Transformation) of a Matrix, Minors and Cofactors of matrices, Adjoint and Inverse of a
Matrix. Vector Algebra, Types of Vectors, Addition of Vectors, Multiplication of a Vector by a
Scalar, Scalar and Vector Products of Vectors, Three Dimensional Geometry, Equation of a Line in
Space, Angle between Two Lines, Shortest Distance between Two Lines, Plane, Co planarity of
Two Lines, Angle between Two Planes, Distance of a Point from a Plane, Angle between a Line
and a Plane.

On successful completion of the course, students will be able following points:

- System of linear equations in solving the problems of electrical engineering, mechanical engineering, applied mechanics etc.
- Use of matrix in graph theory, linear combinations of quantum state in physics, computer graphics and cryptography etc.
- Students will be able to apply vectors in higher dimensional space in experimental data, storage and warehousing, electrical circuits, graphical images, economics, mechanical systems and in physics.
- Students will able to use eigen values and eigen vector in Control theory, vibration analysis, electric circuits, advanced dynamics and quantum mechanics.
- Students will be able to apply linear transformation in computer graphics, cryptography, thermodynamics etc.
- Students will able to use the techniques and theory of linear algebra to model various real world problems. (Possible applications include: curve fitting, computer graphics, networks, discrete dynamical systems, systems of differential equations, and least squares solutions.
- Modeling of heat flow, heat equation
- Understand fluid mechanics problem such as conservation of momentum, conservation of mass etc.