Sophia: Using Determinants to Classify 3x3 Matrices: Lesson 3

How can you calculate the height of a tree without having to climb it all the way to the top? The sixth installment of an 11-part Math in Science video series demonstrates how to use trigonometry to determine the height of a tree. 

This lesson demonstrates how the determinant of a 3x3 matrix can be used to tell whether or not the matrix represents a dependent linear system, an inconsistent linear system, or neither.

This lesson demonstrates how the determinant of a 3x3 matrix can be used to tell whether or not the matrix represents a dependent linear system, an inconsistent linear system, or neither.

This lesson demonstrates how the determinant of a 2x2 matrix can be used to tell whether or not the matrix represents a dependent linear system, an inconsistent linear system, or neither.

This lesson demonstrates how the determinant of a 2x2 matrix can be used to tell whether or not the matrix represents a dependent linear system, an inconsistent linear system, or neither.

This lesson demonstrates how the determinant of a 3x3 matrix can be used to tell whether or not the matrix represents a dependent linear system, an inconsistent linear system, or neither.

This lesson demonstrates how the determinant of a 2x2 matrix can be used to tell whether or not the matrix represents a dependent linear system, an inconsistent linear system, or neither.

This lesson provides practice examples that use conjugates to rationalize denominators. It is 1 of 6 in the series titled "Using Conjugates to Rationalize Denominators."

This lesson demonstrates how to use similar figures to find some unknown information about similar figures. It is 3 of 5 in the series titled "Using Similarity to Identify Missing Information."

What size is the product of two matrices? Individuals determine that two matrices that can be multiplied and their resulting matrix by connecting them in the interactive resource. They make a generalization about the sizes of...