Question

If A=[a1 b1 c1
a2 b2 c2
a3 b3 c3]is non singular,prove that A^-1=Adjoint A/determinent A

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Answer 1

Step-by-step explanation:

Given

> TAA is a non-singular matrix,

then

A- a b c

La, &

le

45

Х

MATHS

and soon..

if A

a & Ta, a ca]

A.adja = a, b, c Cu Ca La, b, 6. Ca C

Tdet 4 0 0 det A 0 = det A

deta because A is invertible, detA=0.

1 1 A(ad4)-1

det 4

4

1

detA

ad 4 = 1

1 adjA =

det 4

adjA det A