Sophia: Using Determinants to Classify 2x2 Matrices

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 2x2 matrix can be used to tell whether or not the matrix represents a dependent linear system, an inconsistent linear system, or neither.

This tutorial illustrates an example of how to find the determinant of a 2x2 matrix. [3:37]

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 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 3x3 matrix can be used to tell whether or not the matrix represents a dependent linear system, an inconsistent linear system, or neither.

Find the determinant of a given 2x2 matrix. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

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."