Let u = (u1 u2 u3 u4), v = (v1 v2 v3 v4) be vectors in M22. The inner product is defined as ⟨u,v⟩ = u1v1 + 3u2v2 + 2u3v3 + u4v4 on M22. Are the following vectors u = (-1 2 -2 3), v = (2 -1 1 4) orthogonal with respect to the given inner product?
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Step 1
Step 1:** Calculate the inner product of vectors u and v using the given formula: $\langle u,v \rangle = u_1v_1 + 3u_2v_2 + 2u_3v_3 + u_4v_4$ ** Show more…
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