Question

If A is 3 × 3 non singular matrix and if lAl = 3, then find the value of l 2(A)^-1 l

Answer 1

hey
the answer is 563

Answer 2

Answer: The value would be $\dfrac{8}{3}$

Step-by-step explanation:

Since we have given that

|A| = 3

And A is a 3×3 non singular matrix.

So, $\mid 2A^{-1}\mid$

As we know that

$\mid kA\mid =k^n\mid A\mid\\\\and\\\\\mid A^{-1}\mid =\dfrac{1}{\mid A\mid}$

$\mid A^{-1}\mid =\dfrac{1}{\mid A\mid}=\dfrac{1}{3}$

And,

$2^3\times \dfrac{1}{3}\\\\=\dfrac{8}{3}$

Hence, the value would be $\dfrac{8}{3}$