coefficient matrix 28 videos
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The Identity Matrix
Precalculus Systems of Linear Equations and Matrices
How to determine the identity matrix of order n.
matrices square matrices the identity matrix matrix multiplication -
Matrix Operations
Algebra 2 Matrices
How to use simple matrix operations.
adding matrices scalar multiple matrix matrices -
Solving Linear Systems Using Matrix Algebra
Precalculus Systems of Linear Equations and Matrices
How to convert a system of linear equations into a matrix equation and solve it.
matrices square matrices matrix equation coefficient matrix inverse matrix identity matrix matrix multiplication -
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Rational Exponents with Negative Coefficients
Algebra 2 Roots and Radicals
How to know when a negative coefficient is associated with power.
evaluating rational exponents power over root negative -
The Inverse of a Square Matrix
Precalculus Systems of Linear Equations and Matrices
How to determine whether two matrices are inverses.
matrices square matrices the identity matrix matrix multiplication invertible inverse matrix -
Solving Systems using Matrices
Algebra Solving Systems of Equations
How to use matrices to solve a system of equations.
matrix coefficient matrix inverse matrix system of equations -
Factoring Trinomials, a = 1
Algebra Factoring
How to factor a trinomial with a leading coefficient of 1.
factor leading coefficient -
Polynomial Functions
Precalculus Polynomial and Rational Functions
How we define polynomial functions, and identify their leading coefficient and degree.
polynomial functions coefficients leading term leading coefficient degree -
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 -
Cramer's Rule
Precalculus Systems of Linear Equations and Matrices
How to solve a system of two linear equations with two unknowns using Cramer's rule.
systems of linear equations Cramer's rule determinant coefficient matrix -
Difference of Perfect Squares
Algebra Factoring
How to recognize and factor a binomial that is the difference of perfect squares.
perfect square coefficients binomial -
Selling Multiple Items
Algebra Word Problems Using Systems of Equations
How to set up a system of equations to represent word problems where someone is selling multiple items.
system of equations coefficient elimination -
Factoring Trinomials, a is not 1
Algebra Factoring
How to factor trinomials when the leading coefficient is not one.
ax^2 + bx + c greatest common factor FOIL -
Introduction to Matrices
Algebra 2 Matrices
How to talk about matrices.
matrix dimensions element row column -
2x2 Determinants
Precalculus Systems of Linear Equations and Matrices
How to compute the determinant of a 2x2 square matrix.
square matrices determinant 2x2 determinant -
Dilations of Quadratic Graphs
Algebra Quadratic Equations and Functions
How to graph parabolas that are wide or skinny or upside down without making a table of values.
dilation vertex quadratic equation coefficient -
Dilations of Quadratic Graphs
Algebra 2 Quadratic Equations and Inequalities
How to graph parabolas that are wide or skinny or upside down without making a table of values.
dilation vertex quadratic equation coefficient -
Augmented Matrices
Algebra 2 Matrices
How to use matrices to solve a system of linear equations.
augmented matrix row operations scalar multiple -
Square Matrices
Precalculus Systems of Linear Equations and Matrices
How to determine whether two matrices can be multiplied, and if so, what the dimensions of the product will be.
matrices rows columns dimension matrix multiplication