Mathematics | Senioritis

John Rhodes
June 21, 2023
Geometry

Discovering the Differences and Similarities between Parallelogram, Rectangle, Rhombus, and Square

Parallelogram, Rectangle, Rhombus, and Square Quadrilaterals that have two pairs of parallel sides What are the similarities and differences between a Parallelogram, Rectangle, Rhombus, and Square? Similarities:...

John Rhodes
June 21, 2023
Geometry

Mastering Rhombus Geometry: Properties, Formulas, Applications, and More

Rhombus I have four congruent sides, no right angles, and two pairs of parallel sides. A rhombus is a parallelogram with all sides equal in length. It...

John Rhodes
June 21, 2023
Geometry

Master the Characteristics and Formulas of a Square – Your Ultimate Guide to Geometry

Square I have four congruent sides, four right angles, and two pairs of parallel sides. A square is a two-dimensional geometric shape with four equal sides and...

John Rhodes
June 21, 2023
Linear Algebra

Understanding the Solution Set for Equations with 3 Variables: Finding Specific Solutions

What are the solution sets for equations with 3 variables? Set of Intersections of the Planes:1.) Line 2.) Point 3.) Nothing The solution set for an equation...

John Rhodes
June 21, 2023
Linear Algebra

Understanding Consistency and Inconsistency in Systems of Equations

What makes a system consistent? Inconsistent? Consistent if there is at least 1 solution (there can be infinite) Inconsistent if there is no solution A system of...

John Rhodes
June 21, 2023
Linear Algebra

Understanding Matrix Size: The Relationship Between Rows and Columns Explained with m*n Notation

The size of a matrix is given as m*n, where m is the number of __________ and n is the number of ___________ Rows; columns The size...

John Rhodes
June 21, 2023
Linear Algebra

Understanding Row Equivalence and Elementary Row Operations for Math Equations

What makes 2 equations row equivalent? If there is a series of elementary row operations that transforms one matrix into the other Two equations are said to...

John Rhodes
June 21, 2023
Linear Algebra

The Row Equivalence Theorem: Simplify Calculations in Linear Systems by Understanding Row Equivalence

If the augmented matrices of two linear systems are row equivalent… The 2 systems have the same solution set If the augmented matrices of two linear systems...