Knowledges in Mathematics

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additional maths

Additional maths

Maths shortcuts

Maths shortcut.

MATHEMATICS PROJECT

THE GOLDEN RATIO AND ITS RELEVANCE IN DAY TO DAY LIFE

PUZZLES & CURIOUS PROBLEMS

536 PUZZLES & CURIOUS PROBLEMS book for practice

Thomas algorithm

Applied numericals

Data Interpretation

Data Interpretation

8th class ncert Ex- 5.1 Solutions

8th class ncert Ex- 5.1 Solutions

Determinant and its properties

Properties of determinants Interchange two rows or cols changes the sign: -> -1 * det(A) ... transpose -> det (A) unchanged. ... multiply row * k -> k * det(A) ... multiply matrix * k -> k^2 * det(A) ... det (A B) -> det(A) * det(B) ... proportional rows or columns -> det() == 0. ... Add multiple of one row to another -> det unchanged. ... Geometric interpretation.

Matrices, System of Linear Equations, Gauss Elimination Method

n linear algebra, Gaussian elimination (also known as row reduction) is an algorithm for solving systems of linear equations. It is usually understood as a sequence of operations performed on the corresponding matrix of coefficients.

Dimension of Vector Space

Image result for : Dimension of Vector Spacemath.stackexchange.com In mathematics, the dimension of a vector space V is the cardinality (i.e. the number of vectors) of a basis of V over its base field. It is sometimes called Hamel dimension (after Georg Hamel) or algebraic dimension to distinguish it from other types of dimension.

Linear Transformation & Rank-Nullity Theorem

Image result for Linear Transformation & Rank-Nullity The rank-nullity theorem is a fundamental theorem in linear algebra which relates the dimensions of a linear map's kernel and image with the dimension of its domain.