Courses
Welcome to Linear Algebra Course
About Course
This is the study of vectors, matrices, and linear transformations. At MathWise, we offer Linear Algebra courses to empower you with essential mathematical tools
What will you Learn in Linear Algebra Course?
Many objects in our environment are represented by vectors, including computer visuals found in practically all contemporary video games and films. And matrices are useful tools in many practical applications because they can be utilized to execute a wide range of data manipulations. And What happens when we have several transformations that are difficult to carry out on a coordinate system? In this course we will learn :
i. Mathematical operations on Vectors
iii. Method to find Matrix determinants
v. Matrix Decomposition
vii. Coordinate systems
ii. Vector space
iv. Matrices transformation
vi. Eigenvalues and eigenvectors
Course Content
UNIT 1: Mathematical operations on Vectors
In this subsection of vectors, we will explaore how we do scalar multiplication and addition of vectors mathematically and graphically. Moreover we will find the diffference between vector dot product and cross product in very intresting way.
UNIT 2: Vector space
In this unit , we will determine the basics of Vector Space, linear combination of vector and their spaning vectors, subspaces and basis of subspaces and moreover we learn about null and colum space. You'll probably encounter vectors in other courses because they're a crucial idea in physics, engineering, computer graphics, and arithmetic.
UNIT 3: Matrices
What are Matrices? Dive in the world of Matrix , we will find different types of matrices and determine the determinant, transpose and decomposition of matrices with multiple applications
UNIT 6: Matrix transformations
In computer graphics, matrices are frequently used to translate, scale, and rotate vectors and pictures. In this unit we will explore the linear transformation of matrices, invearse of matrices and multiplications of matrices
UNIT 7: Alternate coordinate systems
We can simplify extremely difficult transformations by switching the coordinate systems to alternative bases.Here we will learn to find the orthogonal complements and projections and change of basis. Also find the eigen values and eigen vectors.
Importance
Why Choose Our Linear Algebra Course?
Linear algebra is more than just an abstract mathematical concept; it's a practical tool for solving problems, modeling real-world scenarios, and understanding the fundamentals of data analysis.Our instructors are seasoned mathematicians with expertise in linear algebra, committed to making complex concepts understandable.
Join us on this journey to master linear algebra and equip yourself with a valuable mathematical skillset.
Contact us for personalized online tutoring for Linear algebra
