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

From playlist Matrices

Matrices | Adjoint of a Matrix (Examples) | Don't Memorise

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.

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

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

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?

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