For matrix A=(200−1)A = \begin{pmatrix} 2 & 0 \\ 0 & -1 \end{pmatrix}A=(200−1), which statement correctly relates different matrix norms?
∥A∥F=∥A∥2=5\|A\|_F = \|A\|_2 = \sqrt{5}∥A∥F=∥A∥2=5 (Frobenius and spectral norms are equal)
∥A∥F=5\|A\|_F = \sqrt{5}∥A∥F=5 and ∥A∥2=2\|A\|_2 = 2∥A∥2=2 (spectral norm is maximum absolute eigenvalue)
∥A∥1=∥A∥∞=2\|A\|_1 = \|A\|_\infty = 2∥A∥1=∥A∥∞=2 (induced norms are equal)
∥A∥F>∥A∥2\|A\|_F > \|A\|_2∥A∥F>∥A∥2 always