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Algebra

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Scalar Product (Dot Product) of Vectors
Scalar Product (Dot Product) of Vectors 150 150 SchoolTutoring Academy

In scalar product of vectors, the vector components are combined to give a scalar. The scalar product of two vectors is the product of the component of one vector (in…

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Cognitive Fridays: Priming and its Effects
Cognitive Fridays: Priming and its Effects 150 150 Suzanne

Priming is one of the most common influences upon students, and possibly one of the least discussed. Priming is a psychological reality of life – we are all primed in…

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Arithmetic and Geometric Means
Arithmetic and Geometric Means 150 150 SchoolTutoring Academy

For any two numbers a and b, we can insert a number A between them such that a,A, b are in arithmetic progression.  Here, A is called the arithmetic mean…

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Finding the Inverse of a 2×2 Matrix
Finding the Inverse of a 2×2 Matrix 150 150 SchoolTutoring Academy

Two matrices A and B of same order 2 are said be inverses to each other if AB=BA=I, where ‘I’ is the unit matrix of same order 2. Here, A…

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Solution Set of an Inequality
Solution Set of an Inequality 150 150 SchoolTutoring Academy

A solution set is the set of values which satisfy a given inequality. It means, each and every value in the solution set will satisfy the inequality and no other…

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Algebra: Arithmetic Progression
Algebra: Arithmetic Progression 150 150 SchoolTutoring Academy

A sequence of numbers is said to be an arithmetic progression if the difference of any two successive terms in the sequence is always a constant. This constant difference is…

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Expanding Powers Through Binomial Theorem
Expanding Powers Through Binomial Theorem 150 150 SchoolTutoring Academy

Usually we will expand powers just by expanding it using normal multiplication or using the following formulae. (a+b)^2 = a^2 + 2ab + b^2 (a+b)^3 = a^3 + 3a^2b +…

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Sequences: Geometric Progression
Sequences: Geometric Progression 150 150 SchoolTutoring Academy

A sequence of numbers is said to be a geometric progression if the ratio of any two successive terms in the sequence is always a constant. This constant difference is…

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Solving Theorems: Mathematical Induction
Solving Theorems: Mathematical Induction 150 150 SchoolTutoring Academy

In Mathematics, we see many theorems which are true for all natural numbers. Sometimes, proving these theorems directly is not possible. For this purpose, we use a method of proof…

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SchoolTutoring Reviews Algebra – Numerical Relations
SchoolTutoring Reviews Algebra – Numerical Relations 150 150 SchoolTutoring Academy

Let A and B be two non-empty sets. Then the relation which is usually denoted by R from A to B is defined as the set of ordered pairs (in…

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