Linear algebra | Matrix theory

Adjugate matrix

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).

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Adjugate Matrix

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

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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

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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

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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

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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

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45 - The matrix adj(A)

Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering

From playlist Algebra 1M

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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

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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

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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

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Matrix addition

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

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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

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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

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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)

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What is a Matrix?

What is a matrix? Free ebook http://tinyurl.com/EngMathYT

From playlist Intro to Matrices

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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

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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

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