Search for media from: "Jesper Kampmann Larsen"

Determinants and Vectors - Week 6 Short Day

From  Jesper Kampmann Larsen on October 11th, 2019 77 plays 0  

Linear Equations and Matrices Week 5 Short day

From  Jesper Kampmann Larsen on October 4th, 2019 18 plays 0  

Week 1, Short Day: More about Functions of Two Variables

We continue with the study of functions of two variables with their level curves, partial derivatives, gradients , directional derivatives, etc. From the differentiable functions of one variable we…

From  Jesper Kampmann Larsen on February 7th, 2020 35 plays 0  

Week 10 Long Day: Eigenvalues and Eigenvectors - part 1

When you investigate a linear map f:V→V of a vector space into itself a special question arises: Is there proper vectors (i.e. vectors different from the zero-vector), whose image vector is…

From  Jesper Kampmann Larsen on November 11th, 2020 0 plays 109  

Week 10 Long Day: Eigenvalues and Eigenvectors - part 2

When you investigate a linear map f:V→V of a vector space into itself a special question arises: Is there proper vectors (i.e. vectors different from the zero-vector), whose image vector is…

From  Jesper Kampmann Larsen on November 11th, 2020 0 plays 0  

Week 10 Long Day: Eigenvalues and Eigenvectors part 1

When you investigate a linear map f:V→V of a vector space into itself a special question arises: Is there proper vectors (i.e. vectors different from the zero-vector), whose image vector is…

From  Jesper Kampmann Larsen on November 13th, 2019 19 plays 0  

Week 10 Long Day: Eigenvalues and Eigenvectors part 2

When you investigate a linear map f:V→V of a vector space into itself a special question arises: Is there proper vectors (i.e. vectors different from the zero-vector), whose image vector is…

From  Jesper Kampmann Larsen on November 13th, 2019 11 plays 0  

Week 10 Short Day: Diagonalization by Similarity Transform

If a square matrix is similar to a diagonal matrix, it is said to be diagonalizable by a similarity transformation. This is closely connected to the eigenvalue problem. Today we investigate the…

From  Jesper Kampmann Larsen on November 13th, 2020 0 plays 109  

Week 11, Short Day: Diagonalization by Orthogonal Substitution

We continue by investigating particular properties of symmetric matrices and their diagonalization. More precisely, what does it mean that the diagonalizing matrix is positive orthogonal. At the end…

From  Jesper Kampmann Larsen on November 20th, 2020 0 plays 112  

Week 11: Symmetric Matrices part 1

The starting point for talking about orthogonal vectors in Rn and orthogonal matrices in Rn×n is the scalar product, popularly known as the dot product. This gives us the opportunity to…

From  Jesper Kampmann Larsen on November 20th, 2019 23 plays 0  

Week 11: Symmetric Matrices part 1

The starting point for talking about orthogonal vectors in Rn and orthogonal matrices in Rn×n is the scalar product, popularly known as the dot product. This gives us the opportunity to…

From  Jesper Kampmann Larsen on November 18th, 2020 0 plays 0  

Week 11: Symmetric Matrices part 2

The starting point for talking about orthogonal vectors in Rn and orthogonal matrices in Rn×n is the scalar product, popularly known as the dot product. This gives us the opportunity to…

From  Jesper Kampmann Larsen on November 20th, 2019 20 plays 0  

Week 11: Symmetric Matrices part 2

The starting point for talking about orthogonal vectors in Rn and orthogonal matrices in Rn×n is the scalar product, popularly known as the dot product. This gives us the opportunity to…

From  Jesper Kampmann Larsen on November 18th, 2020 0 plays 0  

Week 12: Systems of Differential Equations

We have already worked with first-order linear differential equations. But what if there are more differential equations, and they are coupled, so they cannot be solved individually? Today we shall…

From  Jesper Kampmann Larsen on November 25th, 2020 0 plays 112  

Week 12: Systems of Differential Equations part 1

We have already worked with first-order linear differential equations. But what if there are more differential equations, and they are coupled, so they cannot be solved individually? Today we shall…

From  Jesper Kampmann Larsen on November 27th, 2019 34 plays 0  

Week 12: Systems of Differential Equations part 1

We have already worked with first-order linear differential equations. But what if there are more differential equations, and they are coupled, so they cannot be solved individually? Today we shall…

From  Jesper Kampmann Larsen on November 25th, 2020 0 plays 112