Mathematics | Senioritis

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...

John Rhodes
June 21, 2023
Linear Algebra

Mastering The Row-Column Rule: A Step-By-Step Guide To Multiplying Matrices

Row-column rule to computing product of matrices If the product AB is defined, then the entry in row i and column j of AB is the sum...

John Rhodes
June 21, 2023
Calculus

The Power Of Exponential Functions: Applications In Physics, Economics, And Engineering

Exponential function A function that has a variable in the exponent; the general form is f(x)=b^x where b is a constant and the exponent x is the...

John Rhodes
June 21, 2023
Algebra

Rate Of Change: A Fundamental Math And Science Concept

Rate of change A ratio that describes how much one quantity changes with respect to the change in another quantity , also known as slope. The rate...