Mathematics | Senioritis

John Rhodes
June 21, 2023
Calculus

Why The Sum And Product Of Two Irrational Numbers Are Always Irrational? – A Deeper Look Into The Properties Of Irrational Numbers.

sum or product of two irrational numbers is rational or irrational an irrational number. To understand why, let’s first define what is an irrational number. An irrational...

John Rhodes
June 21, 2023
Calculus

Natural Numbers: Properties, Concepts, And Importance In Math And Beyond

natural numbers 1, 2, 3, 4, 5, … Natural numbers are a set of positive integers, also known as counting numbers, which include 1, 2, 3, 4,...

John Rhodes
June 21, 2023
Calculus

Composite Numbers: Definition, Examples, And Prime Factorization

composite numbers are positive and not prime Composite numbers are positive integers that have at least one positive divisor besides one and themselves. In other words, composite...

John Rhodes
June 21, 2023
Calculus

The Fundamental Theorem Of Algebra: Why Every Non-Constant Polynomial Has At Least One Complex Root

the fundamental theorem of algebra any polynomial with complex coefficients has at least one complex root The fundamental theorem of algebra states that every non-constant polynomial equation...

John Rhodes
June 21, 2023
Calculus

Square Matrix Multiplication: Associativity, Commutativity, And Distributivity

Is matrix multiplication for square matrices commutative, associative, or distributive? only associative and distributive Matrix multiplication is associative, but it is not commutative or distributive for square...

John Rhodes
June 21, 2023
Calculus

Matrix Inverses: Importance Of Non-Singular Matrices And Determinants In Maths

a square matrix has an inverse iff the determinant is nonzero A square matrix has an inverse if and only if it is a non-singular matrix. That...

John Rhodes
June 21, 2023
Calculus

Learn How To Calculate Dot Product Of Two Matrices With Example | Matrix Product Explained

dot product of a matrix must have (m n) (n y)multiply row by column The dot product of two matrices, also known as the matrix product, is...

John Rhodes
June 21, 2023
Linear Algebra

Homogeneous Linear Systems In Mathematics: Consistency And Trivial Solutions

A linear system whose equations are all homogeneous must be consistent. 1 This statement is true. A linear system of equations is considered homogeneous if all the...