3(a) Prove that if the list X1, X2 is a basis for a vector space V, then the list ax1, bx1 + cx2 is also a basis for V for any a +0 and c 0. Why does the conclusion fail if a =0 or c= 0? %3D

Q: Let Find an orthonormal basis of the row space of A. A = 1 4 1.[C ]]}.

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A: . Now, we need to find the orthonormal basis for W.

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: a basis has two following properties: 1). V is linearly independent 2). V spans the vector space

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A: The solution are next step..

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A: We will find out the required value.

Q: Please give correct answer

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A: answer is in next step. please give a like!!!!

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Q: is linearly independent. spans R3 5 is a basis for R³. None of the above.

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Q: 2. (a) Show that the list {p o(x), p 1(x), p 2(x),...,p n(x),...,} where Po(x) = 1, p₁(x) = 1 + x,…

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