Question

Using elementary row transformation find the inverse of the following matrices
(I) [(1,-2,-3),(-2,4,7),(-3,5,9)]
(II) [(1,2,2),(2,2,1),(2,1,2)]​

Answer 1

Let, A =  ⎡ ⎢ ⎢ ⎣ 1 2 3 2 5 7 − 2 − 4 − 5 ⎤ ⎥ ⎥ ⎦ [123257−2−4−5] Now we are going to write the Augmented Matrix followed by matrix A and the Identity matrix I, i.e., Now our job is to convert the matrix A into Identity Matrix.  Therefore, the matrix we will get converting the matrix I will be our A-1. Here, the matrix A is converted into Identity matrix.  Therefore, we get the A-1 as, The value of A-1 is correct or not can be verified by the formula: AA-1 = IRead more on Sarthaks.com - https://www.sarthaks.com/1183291/using-elementary-row-transformations-find-the-inverse-of-the-following-matrices-1-2-3-2-5-7