Question

Find the inverse of the matrix using elementary matrices of order4

Answer 1

Answer:

swap rows.

multiply or divide each element in a a row by a constant.

replace a row by adding or subtracting a multiple of another row to it.

If you multiply a matrix (such as A) and its inverse (in this case, A–1), you get the identity matrix I. And the point of the identity matrix is that IX = X for any matrix X (meaning "any matrix of the correct size", of course).

Every elementary matrix is invertible and its inverse is also an elementary matrix. In fact, the inverse of an elementary matrix is constructed by doing the reverse row operation on I. E−1 will be obtained by performing the row operation which would carry E back to I.

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