Let H = Span(v1, V2, V3} and B= = {v1, v2, v3}. Show that B is a basis for H and x is in H, and find the B-coordinate vector of x for the given vector: 9 - 6 - 4 V3 6 X = 12 V2 - 9 - 22 - 2 - 2 - 8 Reduce the augmented matrix v, V2 V3 x to reduced echelon form. - 5 9 - 8 - 6 - 4 12 - 9 6 -7 - 22 -2 - 2 - 8 How can it be shown that B is a basis for H? O A. H is the Span(v1, v2, V3} and B= (V1, V2, V3) so therefore B must form a basis for H. O B. The augmented matrix is upper triangular and row equivalent to B x] therefore, B forms a basis for H. Oc. The first three columns of the augmented matrix are pivot columns and therefore B forms a basis for H. D. The augmented matrix shows that the system of equations is consistent and therefore B forms a basis for H. 7. CO II

Using Pyhton, answer questions 2 - 4.

I have this question on my homework and I don't see a pattern. I have to explain how the trick works.  "Think of a number. Add 17. Double the result. Subtract 4. Double the result. Add 20. Divide by 4. Subtract 20. Your answer will be your original number."

Which two points that Ethan plotted represent numbers that have a sum of 0?Show or explain how you got your answer.

need help with question C and D please help

Please finish the entire question; it has multiple parts.

A student needs to answer 20 out of 30 questions on a test. Find the number of ways the student can choose if the student must answer the first 8 questions on the test.