You visited us 1 times! Enjoying our articles? Unlock Full Access!

Definition of Functions

Let A be an i...

Question

Let A be an invertible 2 x 2 real matrix. If A^-1 =then det(12A) equals:

-1728

No worries! We‘ve got your back. Try BYJU‘S free classes today!

-1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

-12

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

-1/2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
-12

Let A^-1 =B Therefore AB=I det (12A) = | 43 × 35 - 41×37| = 1505 - 1517
= - 12

Suggest Corrections

Similar questions

Let A be an invertible 2 x 2 real matrix. If A^-1 =then det(12A) equals:

2 \times 2

Let M be 2 $\times$ 2 symmetric matrix with integer entries. Then M is invertible if

M

2 \times 2

M

A

B

3 \times 3

(A^{2} - B^{2})

A^{5} = B^{5}

A^{3} B^{2} = A^{2} B^{3}

A^{3} + B^{3}

Join BYJU'S Learning Program