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Linear Algebra Resource Page
 
   

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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.
 
What kind of Linear Algebra help do you need?
 
  Matrices (19 lessons, 131 videos)
  Matrix Operations (18 lessons, 110 videos)
  Introduction to Vectors (19 lessons, 120 videos)
  3-Space Vectors (19 lessons, 123 videos)
 
 Matrices (19 lessons, 131 videos)

Matrices
 (6 videos)

Play
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)

Play
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)

Play
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)

Play
This lesson demonstrates the interchangeability of rows in a matrix. This is part of a series of lessons showing varios matrix operations. (2:45)
 
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)
 Matrix Operations (18 lessons, 110 videos)

Adding Matrices
 (7 videos)

Play
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)

Play
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)

Play
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)

Play
This lesson demonstrates scalar multiplication. This is part of a series of lessons showing basic matrix operations. (1:33)
 
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)
 Introduction to Vectors (19 lessons, 120 videos)

Geometric Vectors
 (5 videos)

Play
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)

Play
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)

Play
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)

Play
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)
 
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)
 3-Space Vectors (19 lessons, 123 videos)

3-Vector Components
 (5 videos)

Play
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)

Play
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)

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

Play
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)
 
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)
 
 
 
  Practice Worksheets

 
  Sometimes doing is the best way to learn. Find practice worksheets below with videos of step-by-step explanations & solutions.

 
 
PRACTICE WITH MATRICES.PDF
Answer 1 Answer 2 Answer 3 Answer 4 Answer 5 Answer 6 Answer 7 Answer 8 Answer 9 Answer 10
PRACTICE WITH MATRIX OPERATIONS.PDF
Answer 1 Answer 2 Answer 3 Answer 4 Answer 5 Answer 6 Answer 7 Answer 8 Answer 9 Answer 10
PRACTICE WITH VECTORS.PDF
Answer 1 Answer 2 Answer 3 Answer 4 Answer 5 Answer 6 Answer 7 Answer 8 Answer 9 Answer 10
PRACTICE WITH 3 SPACE VECTORS.PDF
Answer 1 Answer 2 Answer 3 Answer 4 Answer 5 Answer 6 Answer 7 Answer 8 Answer 9 Answer 10
 
 
 
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