4. Show that the matrix $ A = \begin{bmatrix} 2\sin^2 \alpha & 2\sin^2 \beta & 2\sin^2 \gamma \\ 3\cos^2 \alpha & 3\cos^2 \beta & 3\cos^2 \gamma \\ 1 & 1 & 1 \end{bmatrix} $is not invertible for any value $\alpha, \beta, \gamma$.

阿摩線上測驗 · 2026-10-22T13:57:49+08:00

4. Show that the matrix A = bmatrix 2^2 α & 2^2 β & 2^2 γ \ 3^2 α & 3^2 β & 3^2 γ \ 1 & 1 & 1 bmatrixis not invertible for any value α, β, γ.

4. Show that the matrix \( A = \begin{bmatrix} 2\sin^2 \alpha & 2\sin^2 \beta & 2\sin^2 \gamma \\ 3\cos^2 \alpha & 3\cos^2 \beta & 3\cos^2 \gamma \\ 1 & 1 & 1 \end{bmatrix} \)is not invertible for any value $\alpha, \beta, \gamma$.