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Asked by ashishkohar00 | 30th Sep, 2020, 11:59: AM

Expert Answer:

Matrices A and B are inverses of each other if AB = I (Identity matrix)
AB space equals space open square brackets table row 1 0 2 row cell negative 2 end cell 1 1 row cell negative 1 end cell 1 2 end table close square brackets open square brackets table row cell negative 1 end cell cell negative 2 end cell 2 row cell negative 3 end cell cell negative 4 end cell 5 row 1 1 cell negative 1 end cell end table close square brackets
equals open square brackets table row cell negative 1 plus 2 end cell cell negative 2 plus 2 end cell cell 2 minus 2 end cell row cell 2 minus 3 plus 1 end cell cell 4 minus 4 plus 1 end cell cell negative 4 plus 5 minus 1 end cell row cell 1 minus 3 plus 2 end cell cell 2 minus 4 plus 2 end cell cell negative 2 plus 5 minus 2 end cell end table close square brackets
equals open square brackets table row 1 0 0 row 0 1 0 row 0 0 1 end table close square brackets
rightwards double arrow AB equals straight I
Hence comma space straight A space and space straight B space are space inverses space of space each space other.

Answered by Renu Varma | 2nd Oct, 2020, 12:44: PM