Zero Product Property

Definition If   a × b = 0   then   a = 0   or   b = 0   or  a = b = 0 A product of factors is zero if and only if one or more of the factors is zero. Standard Form of an Equation The Standard Form of an equation is: “some expression” = 0 Learn More Partial Sum General Form of

Partial Sum

A series is the sum of the terms in a sequence (not the list of terms, like a sequence). The series with a finite number of terms is a easy to find the sum of the series just by adding the terms. However, for the series with an infinite number of terms, the summation is more difficult and complicated.

Cross product: Formula, Rule, And Examples

What is Cross product Cross product is one of kind of vector product. It is also called vector product. It is because cross product is operated in vector case. The result is length and direction. It is multiply two vectors (vector a and b) to get the result (length and the direction). The length (magnitude)

General Form of Equation of a Line

Definition General Form of the equation of a straight line is: Ax + By + C = 0 Note: A or B can’t be zero at the same time. (if A = 0 then B ≠ 0, vice versa) The General Form is not always the most useful form, and you may prefer to use: Slope-Intercept Form

Subtracting Fractions

Definition A fraction like 2/3 says we have 2 out of the 3 parts the whole is divided into. The top number is called numerator The bottom number is called denominator There are 3 simple steps to subtract fractions Make sure the bottom numbers (the denominators) are the same Subtract the top numbers (the numerators).

Polynomials: Definition, Adding, Subtraction, Examples

What is Polynomial? Poly means “many” and nomials means “terms”. Polynomial means one of algebraic expression that consist of variable, coefficient, and constant. The characteristic of polynomial is it has non-negative integer power. Polynomial can be written as anxn + an-1xn-1 + an-2xn-2 + …. + a2x2 + a1x1 + a0 or Where an,….a0   : any number(as coefficient and

Infinite Series

Definition of Infinite Series Infinite series are the sum of infinitely many numbers listed in a given order & related in a given way. For an infinite series a1 + a2 + a3 + … , a quantity sn = a1 + a2 + … + an, which involves adding only the first n terms, is called a partial sum. For Sn approaches a fixed number

Invers of Matrix: Gauss Jordan & Minor-Cofactor Methods, Examples

Invers of a matrix relate with identity of a matrix. It is symbolized by “X-1” where “X” is a matrix X. if there is matrix A, then the invers is A-1. The result of multiplication between matrix A and A-1 is identity matrix “I”. In mathematics symbol, it is written as A.A-1 = I or A-1.A =

Dividing Fractions

There are 3 Simple Steps to Divide Fractions: Turn the second fraction (the one you want to divide by) upside down (this is now a reciprocal). Multiply the first fraction by that reciprocal of second fraction Simplify the fraction (if needed) Fractions and Whole Numbers What about division with fractions and whole numbers? Make the

Determinant of Matrix: Minor – Cofactor & Sarrus Method, and Examples

Determinant of a matrix is a scalar value. It is calculated from square matrix. Its means that only matrix that has dimension 2×2, 3×3, 4×4, etc.  Determinant of matrix is used to solve some problem in mathematics. They are like system of linear equation, calculus problem, and especially invers matrix. If there is matrix A,