176 Videos for "system of equations"

The Identity Matrix  Concept
Math › Precalculus › Systems of Linear Equations and Matrices
How to determine the identity matrix of order n. 
Area With Determinants  Concept
Math › Precalculus › Systems of Linear Equations and Matrices
How to compute the area of a parallelogram using a determinant. 
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  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. 
Introduction to the 3D Coordinate System  Problem 2
Math › Precalculus › Vectors and Parametric Equations
How to find the equation of a sphere with radius r when it is centered at the origin. 
The Inverse of a Square Matrix  Concept
Math › Precalculus › Systems of Linear Equations and Matrices
How to determine whether two matrices are inverses. 
Area With Determinants  Problem 3
Math › Precalculus › Systems of Linear Equations and Matrices
How to compute the area of an irregular quadrilateral using determinants. 
The Cross Product of Vectors  Concept
Math › Precalculus › Systems of Linear Equations and Matrices
How to compute the cross product of two 3D vectors. 
Square Matrices  Problem 1
Math › Precalculus › Systems of Linear Equations and Matrices
How to demonstrate that matrix multiplication is not commutative. 
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. 
Area With Determinants  Problem 1
Math › Precalculus › Systems of Linear Equations and Matrices
How to compute the area of a triangle using a determinant. 
Square Matrices  Problem 2
Math › Precalculus › Systems of Linear Equations and Matrices
How to interpret 2x2 matrices as transformations. 
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. 
The Inverse of a Square Matrix  Problem 2
Math › Precalculus › Systems of Linear Equations and Matrices
How to determine that a matrix has no inverse using row operations. 
The Inverse of a Square Matrix  Problem 1
Math › Precalculus › Systems of Linear Equations and Matrices
How to find the inverse of a square matrix of order 2 using row operations. 
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. 
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. 
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.