MyQuestionIcon

1

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

Adjoint of a Matrix

If A is an in...

Question

If A is an invertible matrix of order 2, then det (A⁻¹) is equal to

A. det (A) B. C. 1 D. 0

Open in App

Solution

Since A is an invertible matrix,

Hence, the correct answer is B.

Suggest Corrections

thumbs-up

1

Similar questions

A

is an invertible matrix of order

2

d e t (A^{- 1})

Q. Assertion :If

A

is skew symmetric matrix of order

3 \times 3

d e t (A) = 0

| A | = 0

A

is a square matrix, then

d e t (A) = d e t (A)^{'} = d e t ({- A}^{^{'}})

2 \times 2

d e t A = 4

then find the product of

d e t (3 A)

d e t (A^{- 1})

A

is a square matrix of order

3

A^{'}

denotes transpose of matrix

A, i f A = A^{'}

d e t A = 1

d e t (A - I)

must be equal to

Q. Assertion :Statement-1: Determinant of a skew-symmetric matrix of order 3 is zero. Reason: Statement-2: For any matrix A,

D e t (A) = D e t (A^{T})

D e t (- A) = - D e t (A)

D e t (A)

denotes the determinant of matrix A. Then,

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 XII Mathematics

Join BYJU'S Learning Program

CrossIcon