Question

using elementry transformation​

Answer 1

Answer:

Using elementary transformations, find the inverse of the following matrix : ⎡⎣⎢12−225−437−5⎤⎦⎥

Toolbox:

There are six operations (transformations) on a matrix,three of which are due to rows and three due to columns which are known as elementary operations or transformations.

Row/Column Switching: Interchange of any two rows or two columns, i.e, Ri↔Rj or Ci↔Cj

Row/Column Multiplication: The multiplication of the elements of any row or column by a non zero number: i.e, i.e Ri→kRi where k≠0 or Cj→kCj where k≠0

Row/Column Addition:The addition to the element of any row or column ,the corresponding elements of any other row or column multiplied by any non zero number: i.e Ri→Ri+kRj or Ci→Ci+kCj, where i≠j.

If A is a matrix such that A−1 exists, then to find A−1 using elementary row operations, write A = IA and apply a sequence of row operation on A = IA till we get, I = BA. The matrix B will be the inverse of A. Similarly, if we wish to find A−1 using column operations, then, write A = AI and apply a sequence of column operations on A = AI till we get, I = AB.

Answer 2

Answer:

Which of the two will have dipole moment