Linear algebra | Matrix theory
In linear algebra, the adjugate or classical adjoint of a square matrix A is the transpose of its cofactor matrix and is denoted by adj(A). It is also occasionally known as adjunct matrix, or "adjoint", though the latter today normally refers to a different concept, the adjoint operator which is the conjugate transpose of the matrix. The product of a matrix with its adjugate gives a diagonal matrix (entries not on the main diagonal are zero) whose diagonal entries are the determinant of the original matrix: where I is the identity matrix of the same size as A. Consequently, the multiplicative inverse of an invertible matrix can be found by dividing its adjugate by its determinant. (Wikipedia).
In this video, I define the notion of adjugate matrix and use it to calculate A-1 using determinants. This is again beautiful in theory, but inefficient in examples. Adjugate matrix example: https://youtu.be/OFykHi0idnQ Check out my Determinants Playlist: https://www.youtube.com/playlist
From playlist Determinants
Matrices | Adjoint of a Matrix | Don't Memorise
What is the Adjoint of a Matrix? To learn more about, Matrices, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=2ugSvI-F__I&utm_term=%7Bkeyword%7D In this video, we will learn: 0:00 how to find adjoin
From playlist Matrices
Matrices | Adjoint of a Matrix (Examples) | Don't Memorise
What is the Adjoint of a Matrix? ✅To learn more about, Matrices, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=hiuqyvR-f_4&utm_term=%7Bkeyword%7D In this video, we will learn: 0:00 how to find adjo
From playlist Matrices
Linear Algebra: Ch 2 - Determinants (46 of 48) Find Inverse Using the Adjugate Matrix (2x2)
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the inverse of a 2x2 matrix using the adjugate matrix. Next video in this series can be seen at: https://youtu.be/5rNgonlmPKs
From playlist LINEAR ALGEBRA 2: DETERMINANTS
Linear Algebra: Ch 2 - Determinants (45 of 48) Find Inverse Using the Adjugate Matrix (3x3)
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the inverse of a 3x3 matrix using the adjugate matrix. Next video in this series can be seen at: https://youtu.be/qasuxxoMt0A
From playlist LINEAR ALGEBRA 2: DETERMINANTS
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
Classic video on inverting a 3x3 matrix part 1 | Matrices | Precalculus | Khan Academy
Inverting a 3x3 matrix Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/e/matrix_inverse_3x3?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-ma
From playlist Matrices | Precalculus | Khan Academy
Inverting 3x3 part 2: Determinant and adjugate of a matrix | Matrices | Precalculus | Khan Academy
Finishing up our 3x3 matrix inversion Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/e/matrix_inverse_3x3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://w
From playlist Matrices | Precalculus | Khan Academy
Inverse of 3 x 3 Matrix Using Adjugate Formula
Linear Algebra: Find the inverse of the 3 x 3 matrix A = [ \ \ ] using the adjugate (or classical adjoint) of A. This is mostly a bookkeeping exercise.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
How do we add matrices. A matrix is an abstract object that exists in its own right, and in this sense, it is similar to a natural number, or a complex number, or even a polynomial. Each element in a matrix has an address by way of the row in which it is and the column in which it is. Y
From playlist Introducing linear algebra
Graph Representation with an Adjacency Matrix | Graph Theory, Adjaceny Matrices
How do we represent graphs using adjacency matrices? That is the subject of today's graph theory lesson! We will take a graph and use an adjacency matrix to represent it! It is a most soulless, but at times useful, graph representation. An adjacency matrix has a row and a column for each
From playlist Graph Theory
Inverse of 4x4 Matrix Using Adjugate Formula
Typo around 4:15. In the cofactor grid, the matrix in the first column, third row, C(3,1) should have bottom row (0, 1, 4), not (2, 1, 4). This is a typo, as the following work uses the correct numbers. (Thanks to Amin Haddad!) Linear Algebra: We find the inverse of a 4x4 matrix usin
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
Inverse Matrices and Their Properties
We learned about matrix multiplication, so what about matrix division? There is no such thing! But we can multiply a matrix by its inverse, which is kind of like multiplying a number by its reciprocal, to cancel it out, which with matrices will yield the identity matrix. So how do you find
From playlist Mathematics (All Of It)
What is a matrix? Free ebook http://tinyurl.com/EngMathYT
From playlist Intro to Matrices
Matrix Addition, Subtraction, and Scalar Multiplication
This video shows how to add, subtract and perform scalar multiplication with matrices. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/
From playlist Introduction to Matrices and Matrix Operations
Inverse of a 2x2 matrix | Matrices | Precalculus | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:matrices/x9e81a4f98389efdf:practice-finding-inverses-of-2x2-matrices/v/inverse-of-a-2x2-matrix Example of calculating the inverse of
From playlist Matrices | Precalculus | Khan Academy