Let A E Rx2 be a matrix with (eigenvalue,eigenvectors) = {(2, V1), (–1, 02)}, where Uj = %3D ,and U2 %3D Let w = 201 + V2 = %3D |3D Compute A w, and use the (eigenvalue,eigenvector) knowledge.

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Q: diagonalizable.

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A: Please check step 2 for the solution.!

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A: c1=-5, c2=-14,c3=-4Explanation:Step 1: Step 2: Step 3: Step 4:

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A: To Find: a 3×3 matrix whose 4-eigenspace is V=x, y, z in ℝ3 | -8x-14y+10z=0 and whose 3-eigenspace…