Math, asked by rishabkumar123456789, 3 months ago

let A be a real matrix of order 2by 2 with IAI=0 and trace (A)=3. what will be the value of trace of
a. 7
b.9
c. 2
d.10

Answers

Answered by duttaamresh530
0

Answer:

Let A=(

a

c

b

d

), abcd

=0

A

2

=(

a

c

b

d

)⋅(

a

c

b

d

)

A

2

=(

a

2

+bc

ac+cd

ab+bd

bc+d

2

)

=a

2

+ bc =1, bc +d

2

=1

ab+bd=ac+cd=0

c

=0 and b

=0=a+d=0

Trace A=a+d=0⇒a=−d

∣A∣=ad− bc =−a

2

− bc =−1

Similar questions