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815 Videos Available |
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Welcome to the Guaranteach Linear Algebra Resource page!
Here you can get access to some of our best Linear Algebra videos! Scroll down or pick a category below to find dozens of short video lessons available immediately. Please create an account to view these lessons. |
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Matrices (19 lessons, 131 videos)
Matrices (6 videos)

This lesson introduces and shares examples of matrices. This is the first in a series of lessons about the basics of matrices. (3:20) |
The Identity Matrix (5 videos)

Students learn the numbers and position of the numbers contained in an identity matrix in this lesson. This is part of a series of lessons which focus on types of matrices. (2:24) |
Matrix Elements (5 videos)

This lesson defines the numbers appearing within a matrix as its elements. This is part of a group of lessons about parts of a matrix. (4:03) |
Interchanging Matrix Rows (11 videos)

This lesson demonstrates the interchangeability of rows in a matrix. This is part of a series of lessons showing varios matrix operations. (2:45) |
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| Other lessons in this section:
Vectors and Tensors (5 videos)
, Square Matrices (5 videos)
, Transposed Matrices (0 videos)
, Diagonal Matrices (5 videos)
, Triangular Matrices (5 videos)
, Matrix Row Operations (5 videos)
, Equality in Matrices (5 videos)
, Matrix Notation (5 videos)
, Zero Matrices (5 videos)
, Multiplying Matrix Rows (11 videos)
, Dividing Matrix Rows (10 videos)
, Adding Matrix Rows (12 videos)
, Subtracting Matrix Rows (11 videos)
, Adding or Subtracting Altered Rows (10 videos)
, Transposing a Matrix (10 videos)
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Matrix Operations (18 lessons, 110 videos)
Adding Matrices (7 videos)

This lesson demonstrates addition of matrices. This is part of a series of lessons showing basic matrix operations. (3:41) |
Multiplying Two Small Matrices (8 videos)

This lesson demonstrates multiplication of 2x2 matrices. This is part of a series of lessons showing basic matrix operations. (2:46) |
Associative Property of Matrices (5 videos)

This lesson discusses the relevance of the associative property when working with matrices. This is part of a group of lessons about matrix operations. (1:27) |
Applying Scalar Multiplication (7 videos)

This lesson demonstrates scalar multiplication. This is part of a series of lessons showing basic matrix operations. (1:33) |
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| Other lessons in this section:
Matrix Addition and Subtraction (5 videos)
, Matrix Multiplication (5 videos)
, Scalar Multiplication (5 videos)
, Inverse Matrices (5 videos)
, Order in Matrix Multiplication (5 videos)
, Dot Products (5 videos)
, Commutative Property of Matrices (5 videos)
, The Transpose of an Inverse Matrix (5 videos)
, Subtracting Matrices (7 videos)
, Multiplying Two Medium Matrices (7 videos)
, Multiplying Two Large Matrices (7 videos)
, Multiplying Square Matrices (8 videos)
, Finding the Dot Product (7 videos)
, Verifying that Matrices are Inverses (7 videos)
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Introduction to Vectors (19 lessons, 120 videos)
Geometric Vectors (5 videos)

This lesson introduces Geometric vectors and discusses how to recognize and perform operations with them. This is part of a series of lessons introducing concepts related to vectors. (3:37) |
Adding Vectors (7 videos)

This lesson demonstrates addition with vectors. Before beginning this lesson, students should be familiar with this type of vector operation. (1:32) |
Vector Components (5 videos)

This lesson discusses the components of a vector. Before beginning this lesson, students should be familiar with the concept of vectors.
(1:53) |
Parallel and Antiparallel Vectors (6 videos)

In this lesson, students are introduced to parallel and antiparallel vectors and how to recognize them. This is one of a series of lessons introducing types of vectors. (1:53) |
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| Other lessons in this section:
Calculating the Magnitude of a Vector (7 videos)
, Calculating the Direction of a Vector (7 videos)
, Finding the Initial Point of a Vector (7 videos)
, Determining Vector Equivalency (7 videos)
, Subtracting Vectors (7 videos)
, Vector Notation (6 videos)
, Equivalent Vectors (6 videos)
, Point Addition and Subtraction (5 videos)
, Vector Addition (6 videos)
, Vector Subtraction (6 videos)
, Vector Scalar Multiplication (6 videos)
, Standard Basis Vectors (6 videos)
, Calculating the Horizontal Component (7 videos)
, Calculating the Vertical Component (7 videos)
, Multiplying Vectors by a Scalar (7 videos)
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3-Space Vectors (19 lessons, 123 videos)
3-Vector Components (5 videos)

In this lesson, the components of a 3-Vector are discussed. Before beginning this lesson, students should be familiar with this type of vector. (1:26) |
3-Space (5 videos)

This lesson introduces the concept of a 3-space vector. This is the first in a series of lessons about this specific vector type. (1:24) |
3-Vectors (5 videos)

This lesson discusses 3-vectors. It is one of a series of lessons discussing 3-space. (2:28) |
Magnitude of 3-Vectors (6 videos)

This lesson discusses the magnitude of a 3-Vector. This is part of a series of lessons about the components of 3-Space Vectors. (3:22) |
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| Other lessons in this section:
Direction of 3-Vectors (7 videos)
, Cross Product (7 videos)
, Direction of a Cross Product (5 videos)
, Magnitude of a Cross Product (5 videos)
, Dot Product of 3-Vectors (6 videos)
, Vector Angle Formula (7 videos)
, Adding and Subtracting 3-Vectors (7 videos)
, Multiplying 3-Vectors by a Scalar (7 videos)
, Calculating the Magnitude of a 3-Vector (7 videos)
, Calculating the Direction of a 3-Vector (7 videos)
, Finding the Cross Product of Vectors (8 videos)
, Calculating the Magnitude of a Cross Product (8 videos)
, Determining the Direction of a Cross Product (7 videos)
, Calculating the Dot Product of 3-Vectors (7 videos)
, Finding the Angle Between Two Vectors (7 videos)
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Practice Worksheets
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Sometimes doing is the best way to learn. Find practice worksheets below with videos of step-by-step explanations & solutions.
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