Inverse of a 4x4 Matrix

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=Y4HCnVNl8xQ

❖ In this video, we have explained how to find the inverse of a 4x4 matrix, which is a precalculus video tutorial. The previous videos showed how to find the inverse of a 2x2 and a 3x3 matrix. • ❖ To find the inverse of a 4x4 matrix, you need to write an augmented matrix containing the original matrix and the identity matrix (which has the same size as the original matrix), • Then, • You need to convert the original matrix into the identity matrix using Elementary Row Operations • (Apply Reduced Row Echelon Form (RREF) for the left side of the augmented matrix). • The identity matrix will convert into the inverse of the original matrix as long as you apply the same elementary row operations for the augmented matrix. • ❖ Finally, you can confirm or check to see if you have the right answer by • multiplying (the matrix) by (its inverse) and you have to get (the identity matrix). • ❖ (The matrix A) multiplied by (the inverse of the matrix A) equal to (the identity matrix) of the same size as A, • so, if the inverse of matrix A exists then • A * A^(-1) = Identity matrix. • ❖ Also, we have explained in this video that if the inverse of the matrix does not exist (DNE). • Note: • If A is not a Square Matrix, then the inverse of matrix A is DNE. • The Square Matrix is a matrix with • the number of rows = the number of columns. • ❖ The number of rows and columns that a matrix has is called its size, order, or dimension. • 0:00 ❖ Introduction • 1:10 Definition the steps • 10:27 Solve 1 • 27:37 Solve 2 • 39:14 To confirm or check our answer for 2 • The link to this playlist (Linear Algebra): • • Linear Algebra • My Website: • https://www.Mulkek.com • Subscribe to My Channel to check out more videos: • / mulkek

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