If $A$ is an invertible matrix of order 2 then find $∣ ∣ A^{- 1} ∣ ∣$ .

Open in App

Solution

We have the formula for invertible matrix
AA^-1 = I
Take determinant both side we get
|A ||A^-1| = 1
Divide by |A| both side we get
|A^-1| = 1/|A |

Suggest Corrections

Similar questions

A

2

d e t (A^{- 1})

If A is an invertible matrix of order 2, then det $(A^{- 1})$ is equal to
a) $d e t (A)$
(b) $\frac{1}{d e t (A)}$
c) 1
d) zero

3 \times 3

| A | = 5

∣ ∣ A^{- 1} ∣ ∣

|A| = 3, then |a d j A|

Join BYJU'S Learning Program