Became a Linear Algebra Master- for GATE, ESE, SSC, AE, JE
What you'll learn
- Basics of Matrices, addition and multiplication of matrices
- Rank of matrix
- system of linear equations AX=B, AX=0
- Eigen values and Eigen vectors, Diagonalization A=PDP−1
- Special matrices
- LU Decompositions
- Minimal Polynomial
- Trace of matrix, Diagonal matrix, upper/lower/diagonal triangular matrix
- Inverse of matrix, adjoint of A matrix, Co-factor matrix , transpose of matrix
- shortcut to find the determinant and inverse of a matrix
- determinant, inverse, adjacent, and transpose properties
- Determinant of matrix A of nxn order
- Row echelon form, general form of Row echelon form
- consistent, in-consistent, homogeneous and non homogeneous matrices
- Cramer's rule method
- Gaussian elimination method, augmented matrix
- system of homogeneous equations, linearly dependent and independent vectors
- number of solutions, trivial and non trivial solutions, consistent and in-consistent solutions, infiniately many solutions
- Cayley Hamilton theorem, shortcut method to find characteristic equations for matrices
- You should be comfortable with the Fundamentals of Math, like arithmetic (addition, subtraction, multiplication, division) of positive and negative numbers, fractions, and decimals.
- You should be comfortable with Algebra, like equation solving, graphing, and factoring, plus exponents and roots.
- You'll only need Fundamentals and Algebra to solve Linear Algebra problems, so if you have that foundation, you'll be well prepared for this course.
To help you assess your understanding as you go, this course contains quizzes (with solutions!) and bonus workbooks with more practise problems. It also contains written and video explanations of all topics related to linear algebra. A common subject in the college mathematics curriculum is linear algebra. Typically, sophomore-year students enrol in it. For those majoring in math, physics, engineering, statistics, or economics, linear algebra is a prerequisite. Unknown quantities can often be determined using linear algebra. Among linear algebra's practical uses are the following: to calculate time, distance, or speed. employed by linear maps to translate a three-dimensional image into a two-dimensional plane. Because it enables the modelling of several natural events, linear algebra is also used in the majority of scientific and engineering sectors.The introduction of linear algebra in the West dates back to the year 1637, when René Descartes develop the concept of coordinates under a geometric approach, known today as Cartesian geometry.Linear algebra is easier than elementary calculus. In Calculus, you can get by without understanding the intuition behind theorems and just memorizing algorithms, which won't work well in the case of linear algebra. By understanding the theorems in linear algebra, all questions can be solved
Who this course is for:
- Current Linear Algebra students, or students about to start Linear Algebra who are looking to get ahead
- Anyone who wants to study math for fun after being away from school for a while
- Anyone who needs Linear Algebra as a prerequisite for Machine Learning, Deep Learning, Artificial Intelligence, Computer Programming, Computer Graphics and Animation, Data Analysis, etc.
I am a civil engineer and gate ranker and teaching is my hobby you will definitely enjoy learning with me in my courses, having 3 years of teaching experience of different-different engineering subjects and ESE general studies, and for few years I worked on the field of construction currently I am MBA in construction project and management and currently working TATA CONSULTING ENGINEERS (TCE) as a planning engineer.