### Titles in this Series

#### Integral Calc: Adding and scaling linear transformations

Item #: 275836

#### Angle between vectors

Item #: 275837

#### Basis

Item #: 275838

#### Cauchy-Schwarz inequality

Item #: 275839

#### Compositions of linear transformations

Item #: 275840

#### Coordinates in a new basis

Item #: 275841

#### Cramer's rule for solving systems

Item #: 275842

#### Cross products

Item #: 275843

#### Determinants

Item #: 275844

#### Dimensionality, nullity, and rank

Item #: 275845

#### Dot and cross products as opposite ideas

Item #: 275846

#### Dot products

Item #: 275847

#### Eigen in three dimensions

Item #: 275848

#### Eigenvalues, eigenvectors, eigenspaces

Item #: 275849

#### Equation of a plane, and normal vectors

Item #: 275850

#### Functions and transformations

Item #: 275851

#### Gauss-Jordan elimination

Item #: 275852

#### Gram-Schmidt process for change of basis

Item #: 275853

#### Identity matrices

Item #: 275854

#### Inverse of a transformation

Item #: 275855

#### Inverse transformations are linear

Item #: 275856

#### Invertibility from the matrix-vector product

Item #: 275857

#### Least squares solution

Item #: 275858

#### Linear combinations and span

Item #: 275859

#### Linear independence in three dimensions

Item #: 275860

#### Linear independence in two dimensions

Item #: 275861

#### Linear subspaces

Item #: 275862

#### Linear systems in three unknowns

Item #: 275863

#### Linear systems in two unknowns

Item #: 275864

#### Linear transformations as matrix-vector products

Item #: 275865

#### Linear transformations as rotations

Item #: 275866

#### Matrix addition and subtraction

Item #: 275867

#### Matrix dimensions and entries

Item #: 275868

#### Matrix inverses, and invertible and singular matrices

Item #: 275869

#### Matrix multiplication

Item #: 275870

#### Modifying determinants

Item #: 275871

#### Multiplying matrices by vectors

Item #: 275872

#### Null and column spaces of the transpose

Item #: 275873

#### Null space of a matrix

Item #: 275874

#### Number of solutions to the linear system

Item #: 275875

#### Orthogonal complements

Item #: 275876

#### Orthogonal complements of the fundamental subspaces

Item #: 275877

#### Orthonormal bases

Item #: 275878

#### Pivot entries and row-echelon forms

Item #: 275879

#### Preimage, image, and the kernel

Item #: 275880

#### Projection onto an orthonormal basis

Item #: 275881

#### Projection onto the subspace

Item #: 275882

#### Projections as linear transformations

Item #: 275883

#### Representing systems with matrices

Item #: 275884

#### Scalar multiplication

Item #: 275885

#### Simple row operations

Item #: 275886

#### Solving Ax=b

Item #: 275887

#### Solving systems with inverse matrices

Item #: 275888

#### Spans as subspaces

Item #: 275889

#### The column space and Ax=b

Item #: 275890

#### The elimination matrix

Item #: 275891

#### The null space and Ax=O

Item #: 275892

#### The product of a matrix and its transpose

Item #: 275893

#### Transformation matrices and the image of the subset

Item #: 275894

#### Transformation matrix for a basis

Item #: 275895

#### Transposes and their determinants

Item #: 275896

#### Transposes of products, sums, and inverses

Item #: 275897

#### Unit vectors and basis vectors

Item #: 275898

#### Upper and lower triangular matrices

Item #: 275899

#### Using determinants to find area

Item #: 275900

#### Vector operations

Item #: 275901

#### Vector triangle inequality

Item #: 275902

#### Vectors

Item #: 275903

#### Zero matrices

Item #: 275904

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# Integral Calc: Linear Algebra

The Series Includes : Integral Calc: Adding and scaling linear transformations | Angle between vectors | Basis | Cauchy-Schwarz inequality | Compositions of linear transformations | Coordinates in a new basis | Cramer's rule for solving systems | Cross products | Determinants | Dimensionality, nullity, and rank | Dot and cross products as opposite ideas | Dot products | Eigen in three dimensions | Eigenvalues, eigenvectors, eigenspaces | Equation of a plane, and normal vectors | Functions and transformations | Gauss-Jordan elimination | Gram-Schmidt process for change of basis | Identity matrices | Inverse of a transformation | Inverse transformations are linear | Invertibility from the matrix-vector product | Least squares solution | Linear combinations and span | Linear independence in three dimensions | Linear independence in two dimensions | Linear subspaces | Linear systems in three unknowns | Linear systems in two unknowns | Linear transformations as matrix-vector products | Linear transformations as rotations | Matrix addition and subtraction | Matrix dimensions and entries | Matrix inverses, and invertible and singular matrices | Matrix multiplication | Modifying determinants | Multiplying matrices by vectors | Null and column spaces of the transpose | Null space of a matrix | Number of solutions to the linear system | Orthogonal complements | Orthogonal complements of the fundamental subspaces | Orthonormal bases | Pivot entries and row-echelon forms | Preimage, image, and the kernel | Projection onto an orthonormal basis | Projection onto the subspace | Projections as linear transformations | Representing systems with matrices | Scalar multiplication | Simple row operations | Solving Ax=b | Solving systems with inverse matrices | Spans as subspaces | The column space and Ax=b | The elimination matrix | The null space and Ax=O | The product of a matrix and its transpose | Transformation matrices and the image of the subset | Transformation matrix for a basis | Transposes and their determinants | Transposes of products, sums, and inverses | Unit vectors and basis vectors | Upper and lower triangular matrices | Using determinants to find area | Vector operations | Vector triangle inequality | Vectors | Zero matrices3-Year Streaming | Price: $49.95 |

### Description

This series includes everything from Linear Algebra, including operations on one matrix, including solving linear systems, and Gauss-Jordan elimination, operations on two matrices, including matrix multiplication and elimination matrices, matrices as vectors, including linear combinations and span, linear independence, and subspaces, dot products and cross products, including the Cauchy-Schwarz and vector triangle inequalities, matrix-vector products, including the null and column spaces, and solving Ax=b, transformations, including linear transformations, projections, and composition of transformations, inverses, including invertible and singular matrices, and solving systems with inverse matrices, determinants, including upper and lower triangular matrices, and Cramer's rule, transposes, including their determinants, and the null (left null) and column (row) spaces of the transpose, orthogonality and change of basis, including orthogonal complements, projections onto a subspace, least squares, and changing the basis, orthonormal bases and Gram-Schmidt, including definition of the orthonormal basis, and converting to an orthonormal basis with the Gram-Schmidt process, eigenvalues and Eigenvectors, including finding eigenvalues and their associate eigenvectors and eigenspaces, and eigen in three dimensions.

**Length:** 878 minutes

**Item#:** BVL275835

**Copyright date:** ©2019

### Performance Rights

Prices include public performance rights.

Not available to Home Video, Dealer and Publisher customers.