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  • John Rhodes
  • July 7, 2023
  • Calculus

Mastering Quadratic Functions: Understanding the Quadratic Parent Function and its Transformations

Quadratic Parent Function The quadratic parent function, also known as the parent equation, is a standard form quadratic equation with the form y = x^2 The quadratic...
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  • John Rhodes
  • July 7, 2023
  • Calculus

Understanding the Linear Parent Function: Definition, Graph, and Properties

Linear Parent Function The linear parent function is the most basic form of a linear equation The linear parent function is the most basic form of a...
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  • John Rhodes
  • July 7, 2023
  • Calculus

Understanding the Dot Product: Computing Dot Product of Matrices and Vectors

dot product of a matrix The dot product of two matrices is only defined between two vectors The dot product of two matrices is only defined between...
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  • John Rhodes
  • July 7, 2023
  • Calculus

Understanding Matrix Inverses: The Importance of Non-Zero Determinants for Square Matrices

a square matrix has an inverse iff A square matrix has an inverse if and only if its determinant is non-zero A square matrix has an inverse...
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  • John Rhodes
  • July 7, 2023
  • Calculus

Understanding the Non-Commutativity, Associativity, and Non-Distributivity of Matrix Multiplication

Is matrix multiplication for square matrices commutative, associative, or distributive? Matrix multiplication is not commutative Matrix multiplication is not commutative. This means that for two square matrices...
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  • John Rhodes
  • July 7, 2023
  • Calculus

Unraveling the Significance of the Fundamental Theorem of Algebra in Mathematics

the fundamental theorem of algebra The Fundamental Theorem of Algebra is a fundamental concept in mathematics that states that every non-zero, single-variable polynomial equation with complex coefficients...
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  • John Rhodes
  • July 7, 2023
  • Calculus

Understanding Composite Numbers: Explained with Examples

composite numbers are Composite numbers are positive integers greater than 1 that are not prime Composite numbers are positive integers greater than 1 that are not prime....
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  • John Rhodes
  • July 7, 2023
  • Calculus

Understanding Natural Numbers and Their Characteristics for Counting and Ordering Objects

natural numbers Natural numbers, sometimes referred to as counting numbers, are a set of positive integers used for counting or ordering objects Natural numbers, sometimes referred to...
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