John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Linear Algebra

Pivot Positions And Pivot Columns In Linear Algebra And Matrix Theory

What is a pivot position? Pivot column? A pivot position in a matrix A is a location in A that corresponds to a leading 1 in the...

John Rhodes
June 21, 2023
Linear Algebra

Pivot Vs Free Variables In Linear Algebra: Their Role In Solving Systems Of Equations

What is a pivot/basic variable? Free variable? A pivot/basic variable corresponds to a pivot column. A free variable corresponds to a solution of the system for any...

John Rhodes
June 21, 2023
Differential Equations

The Importance Of The Existence And Uniqueness Theorem For Differential Equations.

Existence and Uniqueness Theorem a linear system is consistent if and only if the rightmost column of the augmented matrix is NOT a pivot column – that...

John Rhodes
June 21, 2023
Geometry

Uncover The Triangle Sum Theorem: Exploring The Fascinating Relationship Between The Angles Of Every Triangle

The sum of the measures of the angles in every triangle is… 180° The sum of the measures of the angles in every triangle is 180 degrees....

John Rhodes
June 21, 2023
Geometry

The Importance And Function Of Auxiliary Lines In Technical Drawing

auxiliary line line that helps with the proof An auxiliary line, also known as a construction line, is a thinly drawn, light-colored line used in technical drawing...

John Rhodes
June 21, 2023
Geometry

The Angle-Angle Criterion: Key To Triangle Similarity In Geometry

If two angles of one triangle are equal in measure to two angles of another triangle, then the third angle in each triangle… must be congruent If...

John Rhodes
June 21, 2023
Geometry

Isosceles Triangle Properties: The Vertex Angle.

vertex angle angle between the two congruent sides The vertex angle is the angle that is formed by the two congruent sides of an isosceles triangle at...

John Rhodes
June 21, 2023
Geometry

Base Angles In Isosceles Triangles: How To Find The Measure Of Each Base Angle

base angles other two angles that aren’t the vertex angle Base angles are the angles opposite the congruent sides of an isosceles triangle. An isosceles triangle is...