The product of two orthogonal matrices is
1-orthogonal
2-involuntry
3-unitary
4-idempotent

The two vectors are orthogonal,if

Orthogonality OF two circles

If A is orthogonal matri of order 3 then det(adj2A)=

If A is orthogonal matri of order 3 then det(adj2A)=

If A^2 = I, then matrix A is Orthogonal matrix Idempotent matrix Involutory matrix Nilpotent matrix

A square matrix A is said to be orthogonal if A^T A=I If A is a sqaure matrix of order n and k is a scalar, then |kA|=K^n |A| Also |A^T|=|A| and for any two square matrix A d B of same order \AB|=|A||B| On the basis of abov einformation answer the following question: If A is an orthogonal matrix then (A) A^T is an orthogonal matrix but A^-1 is not an orthogonal matrix (B) A^T is not an orthogonal mastrix but A^-1 is an orthogonal matrix (C) Neither A^T nor A^-1 is an orthogonal matrix (D) Both A^T and A^-1 are orthogonal matices.

Let A be an orthogonal square matrix. Statement -1 : A^(-1) is an orthogonal matrix. Statement -2 : (A^(-1))^T=(A^T)^(-1) and (AB)^(-1)=B^(-1)A^(-1)

The curve orthogonal to y^(3)=x^(2) at (1,1) is

In which of the following type of matrix inverse does not exist always? a. idempotent b. orthogonal c. involuntary d. none of these

If both A-(1)/(2) Iand A+(1)/(2) are orthogonal matices,then (a) A is orthogonal (b) A is skew- symmetric matrix of even order (c)A^(2)=(3)/(4)I (d)none of these