Give example to show that .
AB = O = BA where A ≠ O, B ≠ O

Solution

Let space straight A equals open square brackets table row 0 0 row 3 0 end table close square brackets space space straight B equals open square brackets table row 1 0 row 0 0 end table close square brackets therefore space space AB equals space open square brackets table row 2 0 row 0 0 end table close square brackets space open square brackets table row 0 0 row 0 3 end table close square brackets equals open square brackets table row cell 0 plus 0 end cell cell 0 plus 0 end cell row cell 3 plus 0 end cell cell 0 plus 0 end cell end table close square brackets space equals space open square brackets table row 0 0 row 0 0 end table close square brackets equals 0 space space space space space BA equals space open square brackets table row 0 0 row 3 0 end table close square brackets space open square brackets table row 2 0 row 0 0 end table close square brackets equals open square brackets table row cell 0 plus 0 end cell cell 0 plus 0 end cell row cell 0 plus 0 end cell cell 0 plus 0 end cell end table close square brackets space equals open square brackets table row 0 0 row 0 0 end table close square brackets equals 0 therefore space space AB equals straight O equals BA space space space Where space straight A space not equal to straight O comma space straight B space not equal to straight O

Some More Questions From Matrices Chapter

For Daily Free Study Material Join wiredfaculty