AP EAMCET Engineering 21 Sep 2020 Shift 1 Paper

Let the real matrices of order 2
M=[

a	b
c	d

] and N=[

n1	0
0	n2

]
M−1=‌

1

ad−bc

[

d	−b
−c	a

]
Therefore,
It is given that MNM−1 is a diagonal matrix, then ab(n2−n1)=0=cd(n1−n2)
and if M is a diagonal matrix, means b=c=0, then the above requirement getting satisfy.