John Rhodes, Math Teacher at Senioritis.io

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...

John Rhodes
June 21, 2023
Linear Algebra

Elementary Row Operations In Math: Why Multiplying A Linear Equation By Zero Is Not Acceptable

Multiplying a linear equation through by zero is an acceptable elementary row op. 0 Multiplying a linear equation through by zero is not an acceptable elementary row...

John Rhodes
June 21, 2023
Linear Algebra

How To Prove That A Linear System Cannot Have A Unique Solution: An Elimination Method For Math Enthusiasts

x-y=32x-2y=kThe linear system cannot have a unique solution, regardless of the value of k. 1 To show that the linear system cannot have a unique solution, regardless...

John Rhodes
June 21, 2023
Linear Algebra

Solutions In Linear Equations With Multiple Unknowns

A single linear equation with two or more unknowns must always have infinitely many solutions. 1 This statement is false. A single linear equation with two or...

John Rhodes
June 21, 2023
Linear Algebra

Debunking The Misconception: Linear Systems With More Equations Than Unknowns Are Not Always Inconsistent.

If the number of equations in a linear system exceeds the number of unknowns, then the system must be inconsistent. 0 This statement is not necessarily true....

John Rhodes
June 21, 2023
Linear Algebra

How To Scale A Linear System Of Equations For Solving: Step-By-Step Guide

If each equation is consistent linear system is multiplied through by a constant c, then all solutions to the new system can be obtained by multiplying solutions...