Math, asked by masum72, 1 year ago

if a is a square matrix of order 2 whose determinant is unity find A(adjA)​

Answers

Answered by MaheswariS
2

Answer:

A(adjA)=\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]

Step-by-step explanation:

Concept used:

If A is a square matrix of order n, then

A(adjA)=(adjA)A=|A|I_n where

I_n is the identity matrix of order n.

Given:

|A|=1

By the above result, we have

A(adjA)=|A|I_2

\implies\:A(adjA)=(1)\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]

\implies\:A(adjA)=\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]

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