Question: Let matrix A = $\begin{bmatrix} a & b & c \\ b & c & a \\ c & a & b \end{bmatrix}$where a, b, c ar...

Question

Let matrix A = $\begin{bmatrix} a & b & c \\ b & c & a \\ c & a & b \end{bmatrix}$ where a, b, c are real positive numbers with abc = 1 if A^TA = I, then a³ + b³ + c³ =

Answer 1

Solution

AA^T = I

a + b + c = 0

a³ + b³ + c³ = 3

Question: Let matrix A = \(\begin{bmatrix} a & b & c \\ b & c & a \\ c & a & b \end{bmatrix}\)where a, b, c ar...

Solution