zero determinant 68 videos
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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
Pre-Algebra Integers
Understanding that absolute value represents a distance from zero
