Orthogonal Matrice | Adjoint | Transpose

A square matrix A is called orthogonal if Where A' is the transpose of A.

If A and B are two orthogonal matrices of order n and det(A)+det(B)=0; then which of the following must be correct?

Properties of Matrices multiplication|Previous year questions |Transpose of Matrices |Properties of Transpose |Symmetric & skew symmetric matrices |Questions|Inverse of Matrices by elementary row transformation|Questions

Properties of Matrices multiplication|Previous year questions |Transpose of Matrices |Properties of Transpose |Symmetric & skew symmetric matrices |Questions|Inverse of Matrices by elementary row transformation|Questions

If M and N are orthogonal matrices of order 3, then which of the following is (are) orthogonal matrix?

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

Let P be the set of all non - singular matrices of order 3 over R and Q be the set of all orthogonal matrices of order 3 over R. Then

Let P be the set of all non-singular matrices of order 3 over and Q be the set of all orthogonal matrices of order 3 over.Then,

If the orthogonal square matrices A and B of same size satisfy detA+detB=0 then the value of det(A+B)