Home
Class 12
MATHS
If A is a orthogonal matrix, then...

If A is a orthogonal matrix, then

A

`"AA"^(T) =A^(T)A =I`

B

A is non- singular

C

|A| =0

D

`A^(-1)=A^(T)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (V. Choose the incorrect answer :)|5 Videos

  • APPLICATION OF MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (2 MARKS )|10 Videos

  • APPLICATION OF MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (II. Fill in the blanks :)|10 Videos

  • APPLICATION OF INTEGRATION

    SURA PUBLICATION|Exercise 5 MARKS|7 Videos

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS|35 Videos

Similar Questions

Explore conceptually related problems

If A is an orthogonal matrix, then |A| is

If P is an orthogonal matrix and Q=P A P^T an dx=P^T Q^1000 P then x^(-1) is , where A is involutary matrix. A b. I c. A^(1000) d. none of these

Let A be an orthogonal matrix, and B is a matrix such that AB=BA , then show that AB^(T)=B^(T)A .

Which of the following is an orthogonal matrix ?

If nth-order square matrix A is a orthogonal, then |"adj (adj A)"| is

If A is a non-singular matrix then |A^(-1)| =

If A is a square matrix, then which of the following is not symmetric ?

Which of the following in an orthogonal matrix [6//7 2//7-3//7 2//7 3//7 6//7 3//7-6//7 2//7] b. [6//7 2//7 3//7 2//7-3//7 6//7 3//7 6//7-2//7] c. [-6//7-2//7-3//7 2//7 3//7 6//7-3//7 6//7 2//7] d. [6//7-2//7 3//7 2//7 3//7-3//7-6//7 2//7 3//7]

If A is (m xx n) matrix then A^(T) will be a matrix of the type :