Find a basis B for the span of the given vectors. B = [01-41] [51-10] [4191] 11

5

4. Find a basis for the span of {[1, 2, 1]", [3, 1, –1]", [1, –3, –3]"}

Suppose that u₁ 1 (₁ 2 1 and u₂ Consider the two statements, and decide which of them is true. Statement A: If we apply the Gram-Schmidt process to these vectors, the result will be an orthogonal basis for Span{u₁, U₂}. Neither statement is true Statement B: If we apply the Gram-Schmidt process to these vectors, but use the vectors in the order u2, u₁ instead of the order u₁, U2, the Gram-Schmidt process will output a different basis. Only statement B is true - Both statements are true H Only statement A is true