John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Linear Algebra

Unlocking The Properties Of Diagonal Matrices In Linear Algebra: Definition, Operations And Applications

Diagonal matrix A matrix having nonzero elements only in the diagonal running from the upper left to the lower right. A diagonal matrix is a type of...

John Rhodes
June 21, 2023
Linear Algebra

The Zero Matrix In Linear Algebra: Definition And Applications

Zero matrix A matrix where all entries are zero. A zero matrix is a matrix in which all the elements are equal to zero. It can be...

John Rhodes
June 21, 2023
Linear Algebra

Exploring The Concept Of Equal Matrices: The Importance Of Corresponding Elements In Matrix Equations

Equal matrices Each matrix has the same number of rows. Each matrix has the same number of columns. Corresponding elements within each matrix are equal. Equal matrices...

John Rhodes
June 21, 2023
Linear Algebra

Matrix Addition: Learn How To Add Two Matrices Of The Same Size

Sum of matrices Adding matrices together. The sum of two matrices of the same size is obtained by adding the corresponding entries of the matrices. In other...

John Rhodes
June 21, 2023
Linear Algebra

How To Perform Scalar Multiplication On Matrices: A Guide With Examples

Scalar multiple of matrix The multiplication of a vector by a scalar (where the product is a vector), and must be distinguished from inner product of two...

John Rhodes
June 21, 2023
Linear Algebra

Mastering The 6 Key Properties Of Matrix Addition And Scalar Multiplication: A Must-Know For Linear Algebra And Applied Sciences

6 properties of sum and scalar multiple of matrices (cd)A=c(dA)c(A+B)=cA+cBc(c+d)A=cA+dA1A = A0 * A = 0c * 0 = 0cA has same dimensions of A There are...

John Rhodes
June 21, 2023
Linear Algebra

Function Composition: Combining Mathematics Functions To Create A New One

Composition of mappings Applying one function to the results of another: The result of f() is sent through g() It is written: (g º f)(x). Composition of...

John Rhodes
June 21, 2023
Linear Algebra

Mastering Matrix Multiplication: A Step-By-Step Guide With Examples

Product of matrices Multiplying matrices together. The product of matrices is a mathematical operation that involves multiplying two matrices to obtain a new matrix. The product is...