• 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.
• 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.
• 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.
• 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.
• 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.
• Area With the Cross Product - Problem 3

Math›Precalculus›Systems of Linear Equations and Matrices
How to compute the area of a triangle in xyz-space using vectors formed from two of its sides.
• 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.
• The Cross Product of Vectors - Problem 2

Math›Precalculus›Systems of Linear Equations and Matrices
How to show that the cross product of vectors u and v is perpendicular to both u and v.
• Invertible Square Matrices and Determinants - Concept

Math›Precalculus›Systems of Linear Equations and Matrices
How to determine whether a square matrix is invertible using its determinant.
• Area With the Cross Product - Concept

Math›Precalculus›Systems of Linear Equations and Matrices
How to show that the magnitude of the cross product of two vectors gives the area of the parallelogram determined by those two vectors.
• 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.
• Invertible Square Matrices and Determinants - Problem 1

Math›Precalculus›Systems of Linear Equations and Matrices
How to show that a 3x3 matrix is not invertible by computing its determinant.
• Area With the Cross Product - Problem 2

Math›Precalculus›Systems of Linear Equations and Matrices
How to compute the area of a triangle in the xy-plane using vectors formed from two of its sides.
• Invertible Square Matrices and Determinants - Problem 2

Math›Precalculus›Systems of Linear Equations and Matrices
How to show that a 3x3 matrix, [2 5 3; -15 10 18; 20 50 30], is not invertible by computing its determinant.
• Simplifying Determinants - Problem 1

Math›Precalculus›Systems of Linear Equations and Matrices
How to compute a 3x3 determinant on [8 4 2; 3 9 3; -2 8 6] using row operations to simplify it first.
• Rectangular Coordinate System - Concept

Math›Algebra 2›Graphs of Linear Equations
How to talk about the rectangular coordinate system.
• Rectangular Coordinate System - Problem 1

Math›Algebra 2›Graphs of Linear Equations
How to find a point on a line.
• Rectangular Coordinate System - Problem 3

Math›Algebra 2›Graphs of Linear Equations
How to solve for a variable given a point that lies on the line.
• Rectangular Coordinate System - Problem 2

Math›Algebra 2›Graphs of Linear Equations
How to find x and y intercepts of a line.
• Systems of Inequalities - Problem 8

Math›Algebra›Solving Systems of Equations
Graphing a system of linear inequalities
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