Sophia Learning
Sophia: Verifying That Matrices Are Inverses: Lesson 3
This lesson demonstrates how to determine whether or not matrices are inverse. It is 3 of 7 in the series titled "Verifying that Matrices are Inverses."
Sophia Learning
Sophia: Verifying That Matrices Are Inverses: Lesson 7
This lesson demonstrates how to determine whether or not matrices are inverse. It is 7 of 7 in the series titled "Verifying that Matrices are Inverses."
Sophia Learning
Sophia: Verifying That Matrices Are Inverses: Lesson 1
This lesson demonstrates how to determine whether or not matrices are inverse. It is 1 of 7 in the series titled "Verifying that Matrices are Inverses."
Sophia Learning
Sophia: Zero Determinant: Lesson 3
This lesson goes over matrices with a determinant of zero. It is 3 of 7 in the series titled "Zero Determinant." [2:14]
Sophia Learning
Sophia: Zero Determinant: Lesson 4
This lesson goes over matrices with a determinant of zero. It is 4 of 7 in the series titled "Zero Determinant." [2:44]
Sophia Learning
Sophia: Zero Determinant: Lesson 5
This lesson goes over matrices with a determinant of zero. It is 5 of 7 in the series titled "Zero Determinant." [2:47]
Sophia Learning
Sophia: Dot Products
This lesson introduces the concept of a dot product and its relationship to matrix operations.
Sophia Learning
Sophia: Equality in Matrices
This lesson discusses when two matrices are considered equal. This is part of a series of lessons on early concepts related to matrices.
Sophia Learning
Sophia: Matrix Addition and Subtraction
This lesson explains how to add and subtract matrices when it is possible to do so, noting matrix addition is commutative and associative. [2:59]
Sophia Learning
Sophia: Equality in Matrices: Lesson 3
This lesson discusses when two matrices are considered equal. This is part of a series of lessons on early concepts related to matrices. It is 3 of 4 in the series titled "Equality in Matrices."
Sophia Learning
Sophia: Matrix Multiplication
This lesson introduces matrix multiplication, distinguishes it from multiplying by a scalar, and provides examples of the operation.
Sophia Learning
Sophia: Matrix Multiplication: Lesson 2
This lesson introduces matrix multiplication, distinguishes it from multiplying by a scalar, and provides examples of the operation. It is 2 of 2 in the series titled "Matrix Multiplication."
Sophia Learning
Sophia: Matrix Multiplication: Lesson 9
This lesson introduces matrix multiplication, distinguishes it from multiplying by a scalar, and provides examples of the operation. It is 9 of 2 in the series titled "matrix multiplication."
Sophia Learning
Sophia: Multiplying Two Medium Matrices: Lesson 7
This lesson demonstrates multiplication of 3x3 matrices. It is 7 of 7 in the series titled "Multiplying Two Medium Matrices."
Sophia Learning
Sophia: Using Determinants to Classify 3x3 Matrices: Lesson 4
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.
Sophia Learning
Sophia: Vectors and Tensors: Lesson 4
In this lesson, students are introduced to vectors and tensors, and their significance when working with matrices. Students should be familiar with the concept of a matrix before beginning this lesson. It is 4 of 4 in the series titled...
Khan Academy
Khan Academy: Visualizing a Column Space as a Plane in R3
A video demonstrating working with matrices.
Sophia Learning
Sophia: Scalar Multiplication
Determine how to do scalar multiplication with matrices. Check understanding with a quiz. [2:21]
Sophia Learning
Sophia: Using Determinants to Classify Systems of 2x2 Matrices
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.
Khan Academy
Khan Academy: Basic Matrix Operations: Scalar Multiplication
Learn how to do scalar multiplication with matrices. [2:17]