Question: Find an orthonormal basis for the hyperplane H which consists of all solutions of the equation (E) 1w + 15x + 5y+9z =0 Step 1:

Find an orthonormal basis for the hyperplane H which consists of all solutions of the equation (E) 1w + 15x + 5y+9z =0 Step 1: a basis for H is given by b1 = b = b3 = Step 2 The Gram-Schmidt orthonormalization process applied to vectors b1, b2, b3 yields this ONB for H: a1 = a2 a3 Use a 4-function calculator to crunch numbers; enter v11 as sqrt(11). Check

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