MyQuestionIcon

1

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

Adjoint of a Matrix

If adj B = A,...

Question

If $adj B = A, | P | = | Q | = 1,$ then $adj (Q^{- 1} B P^{- 1})$ is

A

P Q

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

B

Q A P

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

C

P A Q

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

D

P A^{- 1} Q

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

Open in App

Solution

The correct option is C $P A Q$
$adj (Q^{- 1} B P^{- 1}) = adj (P^{- 1}) adj (B) adj (Q^{- 1})$
$= \frac{P}{| P |} A \frac{Q}{| Q |}$
$= P A Q$

Suggest Corrections

thumbs-up

1

Similar questions

adj B = A, | P | = | Q | = 1,

adj (Q^{- 1} B P^{- 1})

a d j B = A, | P | = | Q | = 1

a d j (Q^{- 1} B P^{- 1})

P = [a_{i j}]_{n \times n}

be any matrix and it is non singular matrix. If |P| = |Q| = 1 and adj B = A, then

a d j (Q^{- 1} B P^{- 1})

B = A

| P | = | Q | = 1

a d j (Q^{- 1} {B P}^{- 1)}

B = A

| P | = | Q | = 1

a d j ((Q^{- 1} {B P}^{- 1})

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Adjoint and Inverse of a Matrix

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Adjoint of a Matrix

Standard XIII Mathematics

Join BYJU'S Learning Program

CrossIcon