Simple properties of determinants

Algebra Level 2

If A A is a 3 × 3 3\times 3 matrix such that det ⁡ ( A ) = − 2 , \det(A)=-2, what is det ⁡ ( 3 A − 1 ) ? \det\left(3A^{-1}\right)?

− 27 2 -\frac{27}{2} − 3 2 -\frac{3}{2} -54 27 2 \frac{27}{2}

Sandeep Mehra by Sandeep Mehra , 23, India

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1 solution

Nara AnjmbinAzd
Jun 26, 2018

|3(A^-1)|=3^3 |A^-1|=27 1/|A|=-(27/2)

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Totally unclear.

Oleg Yovanovich - 3 months, 2 weeks ago

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