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  • John Rhodes
  • July 8, 2023
  • Linear Algebra

Understanding Consistency in Systems of Linear Equations: Explained by a Math Specialist

If a system of linear equations has infinitely many solutions, then it may be inconsistent. Actually, if a system of linear equations has infinitely many solutions, then...
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  • John Rhodes
  • July 8, 2023
  • Linear Algebra

Understanding the Dimensions and Elements of a 2 x 3 Matrix in Math

A 2 × 3 matrix has three columns and two rows. That is correct. A 2 × 3 matrix has two rows and three columns. That is...
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  • John Rhodes
  • July 8, 2023
  • Calculus

Understanding Horizontal Stretch in Mathematics: Explained with Examples and Visuals

horizontal stretch Horizontal stretch is a transformation in mathematics that stretches a graph horizontally Horizontal stretch is a transformation in mathematics that stretches a graph horizontally. It...
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  • John Rhodes
  • July 8, 2023
  • Calculus

Understanding Vertical Stretch in Mathematics: Explained and Demonstrated

vertical stretch In mathematics, a vertical stretch is a transformation that changes the size of a graph or function in the vertical direction In mathematics, a vertical...
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  • John Rhodes
  • July 8, 2023
  • Calculus

Understanding Horizontal Translations: Shifting Graphs Left or Right

horizontal translation In mathematics, a horizontal translation refers to the shifting of a graph or object left or right along the x-axis without changing its shape In...
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  • John Rhodes
  • July 8, 2023
  • Calculus

Understanding Vertical Translation in Mathematics: How to Shift a Graph or Function Up or Down Along the Y-axis

vertical translation In mathematics, a vertical translation refers to shifting a graph or function vertically up or down along the y-axis In mathematics, a vertical translation refers...
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  • John Rhodes
  • July 8, 2023
  • Calculus

Understanding the Order of Transformations: Exploring the Sequence and Impact of Translations, Rotations, and Dilations in Mathematics

order of transformations The order of transformations refers to the sequence in which various transformations are applied to a shape or an object The order of transformations...
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  • John Rhodes
  • July 8, 2023
  • Calculus

Mastering Limits: How to Find the Limit as x Approaches Infinity using Expression Evaluation

lim (x → ∞) To find the limit as x approaches infinity, we need to evaluate the expression for very large values of x To find the...
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