65 Videos for "systems of linear equations"

Square Matrices  Problem 1
Math › Precalculus › Systems of Linear Equations and Matrices
How to demonstrate that matrix multiplication is not commutative. 
Square Matrices  Problem 3
Math › Precalculus › Systems of Linear Equations and Matrices
How to show that two matrices are inverses (in the sense of matrix multiplication). 
Square Matrices  Problem 2
Math › Precalculus › Systems of Linear Equations and Matrices
How to interpret 2x2 matrices as transformations. 
Square Matrices  Concept
Math › 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. 
The Inverse of a Square Matrix  Concept
Math › Precalculus › Systems of Linear Equations and Matrices
How to determine whether two matrices are inverses. 
2x2 Determinants  Concept
Math › Precalculus › Systems of Linear Equations and Matrices
How to compute the determinant of a 2x2 square matrix. 
Simplifying Determinants  Concept
Math › Precalculus › Systems of Linear Equations and Matrices
How to simplify determinants using three row (or column) operations. 
The Cross Product of Vectors  Concept
Math › Precalculus › Systems of Linear Equations and Matrices
How to compute the cross product of two 3D vectors. 
Area With Determinants  Problem 2
Math › Precalculus › Systems of Linear Equations and Matrices
How to use the triangle area formula to test three points for collinearity. 
Area With Determinants  Problem 3
Math › Precalculus › Systems of Linear Equations and Matrices
How to compute the area of an irregular quadrilateral using determinants. 
Area With Determinants  Problem 1
Math › Precalculus › Systems of Linear Equations and Matrices
How to compute the area of a triangle using a determinant. 
3x3 Determinants  Concept
Math › 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. 
3x3 Determinants  Problem 2
Math › Precalculus › Systems of Linear Equations and Matrices
How to determine the effect of interchanging two rows on the value of a determinant. 
3x3 Determinants  Problem 1
Math › Precalculus › Systems of Linear Equations and Matrices
How to compute the determinant of a 3x3 square matrix using minors by expanding along any row or column. 
Simplifying Determinants  Problem 2
Math › Precalculus › Systems of Linear Equations and Matrices
How to compute a 3x3 determinant using row operations to simplify it first. 
3x3 Determinants  Problem 3
Math › Precalculus › Systems of Linear Equations and Matrices
How to determine the effect of a row's common factor on the value of a determinant. 
The Inverse of a Square Matrix  Problem 3
Math › Precalculus › Systems of Linear Equations and Matrices
How to find the inverse of a square matrix of order 3 using row operations. 
Simplifying Determinants  Problem 1
Math › Precalculus › Systems of Linear Equations and Matrices
How to compute a 3x3 determinant using row operations to simplify it first. 
The Cross Product of Vectors  Problem 1
Math › Precalculus › Systems of Linear Equations and Matrices
How to show that when you reverse the order of a cross product, you get the opposite result. 
Simplifying Determinants  Problem 3
Math › Precalculus › Systems of Linear Equations and Matrices
How to compute a 4x4 determinant using row operations to simplify it first.