Consider a 2x2 matrix A which transforms the unit ball with respect to the 2-norm into the figure shown below: 4 2 0 -2 2-ball Transformed 2-ball 2 The unit vectors, with respect to the 2-norm, V₁ and V₂, which are oriented and radians counter- clockwise from the positive x-axis respectively, are transformed as follows: Av₁ = [33] and Av₂ = [-2_2]¹. What is the matrix norm || A||2? number (3 significant figures)

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