No links please:

(ii) Show that the matrix $A = \frac{1}{3} [\begin{matrix} 1 & 2 & 2 \\ 2 & 1 & - 2 \\ - 2 & 2 & - 1 \end{matrix}]$ is orthogonal.

Question

No links please:

(ii) Show that the matrix A = 1 3 1 2 2 2 1 - 2 - 2 2 - 1   is
orthogonal

Lovina Kansal · Accepted Answer

Dear student
We have,A=1312221-2-22-1=1323232313-23-2323-13A'=1323-2323132323-23-13AA'=1323232313-23-2313-131323-2323132323-23-13=100010001=ISo, A is an orthogonal matrix
Regards

No links please: (ii) Show that the matrix A = 1 3 1 2 2 2 1 - 2 - 2 2 - 1 is orthogonal.

No links please:

(ii) Show that the matrix $A = \frac{1}{3} [\begin{matrix} 1 & 2 & 2 \\ 2 & 1 & - 2 \\ - 2 & 2 & - 1 \end{matrix}]$ is orthogonal.