properties

How to Use the Quadratic Formula

How to Use the Quadratic Formula 150 150 Deborah

 Overview of the Quadratic Formula   The Quadratic Formula is a special math expression that can be used to help students solve math equations that take a distinct form: ax2…

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Complex Numbers Continued: Amplitude

Complex Numbers Continued: Amplitude 150 150 SchoolTutoring Academy

This article assumes you have read our article on Polar Representation of a Complex Number Resuming from there, we had determined t = tan-1(b/a), which is called the amplitude or…

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Properties of Logarithmic Functions

Properties of Logarithmic Functions 150 150 SchoolTutoring Academy

A logarithmic function is basically the inverse of an exponential function. Take a >0 and a≠1.  Then the inverse of the function f:RàR defined fy f(x)=ax is logax which is…

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Algebra: How to do Vector Product (Cross Product)

Algebra: How to do Vector Product (Cross Product) 150 150 SchoolTutoring Academy

In vector product of vectors, the vector components are combined to give a vector. The vector product of two vectors is a vector which is perpendicular to both the given…

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Algebra: How to do Vector Addition

Algebra: How to do Vector Addition 150 150 SchoolTutoring Academy

A Vector is a quantity which has both magnitude and direction. Example: Force, velocity, momentum etc. A vector is represented by a directed line segment. If the vector has the…

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Divisibility and Division Algorithm

Divisibility and Division Algorithm 150 150 SchoolTutoring Academy

All positive and negative integers together zero form the set of integers which is usually denoted by Z or I. So, Z = {…,-3,-2,-1,0,1,2,3,…}. Let a and b be any…

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Properties of Determinants

Properties of Determinants 150 150 SchoolTutoring Academy

Every square matrix is associated with a real number which is called the determinant of the square matrix. Let S be the set of all square matrices and R be…

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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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Modulus and Conjugate of a Complex Number

Modulus and Conjugate of a Complex Number 150 150 SchoolTutoring Academy

Their are two important data points to calculate, based on complex numbers. They are the Modulus and Conjugate. Modulus of a complex number: The modulus of a complex number z=a+ib…

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Addition of Matrices

Addition of Matrices 150 150 SchoolTutoring Academy

Addition of matrices: If two matrices A and B are of  the same order mxn, then the sum A+B is of the same order mxn and contains the elements obtained…

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