zero determinant 68 videos

Invertible Square Matrices and Determinants
Precalculus Systems of Linear Equations and Matrices
How to determine whether a square matrix is invertible using its determinant.
square matrices invertible determinant zero determinant inverse of a 2x2 matrix 
2x2 Determinants
Precalculus Systems of Linear Equations and Matrices
How to compute the determinant of a 2x2 square matrix.
square matrices determinant 2x2 determinant 
Using the Conjugate Zeros Theorem
Precalculus Polynomial and Rational Functions
How we find the zeros of a polynomial function when one imaginary zero is known.
polynomial functions quadratic functions zeros multiplicity the conjugate zeros theorem the conjugate roots theorem conjugates imaginary numbers imaginary zeros 
Area With Determinants
Precalculus Systems of Linear Equations and Matrices
How to compute the area of a parallelogram using a determinant.
parallelogram vectors determinant area 
3x3 Determinants
Precalculus Systems of Linear Equations and Matrices
How to compute the determinant of a 3x3 square matrix using minors by expanding along the top row.
square matrices determinant 3x3 determinant minor of an element 
Finding Zeros of a Polynomial Function
Precalculus Polynomial and Rational Functions
How we find the zeros of a polynomial function in expanded form.
polynomial functions zeros factored form expanded form the factor theorem the rational roots theorem potential zeros synthetic division the reduced polynomial the quadratic formula 
Simplifying Determinants
Precalculus Systems of Linear Equations and Matrices
How to simplify determinants using three row (or column) operations.
determinant row operations column operations interchanging rows common factors adding a multiple of one row to another 
Relations and Determining Whether a Relation is a Function
Algebra Graphs and Functions
How to determine whether a relation is a function.
domain range input output function relation 
Introduction to Rational Functions
Precalculus Polynomial and Rational Functions
How to define rational functions, and how to identify their domain and zeros.
rational functions polynomials domain zeros 
Solving Quadratic Equations by Factoring
Algebra Quadratic Equations and Functions
How to solve quadratic equations by factoring.
zero product property factoring 
Solving Quadratic Equations by Factoring
Algebra 2 Quadratic Equations and Inequalities
How to solve quadratic equations by factoring.
zero product property factoring 
Absolute Value
PreAlgebra Integers
Understanding that absolute value represents a distance from zero