Hi,

please help to clearfy step by step, I am not really sure the the difference between the U1 and U2 by question three.

Can you cleary each question step by step and indicate the main point of the question?

Thank you

Q3 (3 points) Let MT, u; be vectors in IR\". Suppose vrw-'are linear combinations of u? and 14;. Prove that vil- w-is also a linear combination of u? and u;.(Hint: write v= cl u? + C2 u; and w= all u; + d2 ME, then 123!- WE...) + Drag and drop your images or click to browse... Q4 (3 points) Suppose v7 Va: 9, (vii wj - (ix-3|- w? = 25 and v7) w\": 2, find llwll. + Drag and drop your images or click to browse... 05 (3 points) (Optional) In R" , suppose we know that 11-: v\": u? w'.' Does it follow that Va: W7? If it does, give a proof. OthenNise, give a counterexample (Le. specific vectors urvrwdfor which uf Va: M7 w? but 1775 w.) Q1 (3 points) Solve for the vector x-in terms of the vectors a'and bTJc-il- 2a: 1;: 3(x_:l aT 2(2a-' by + Drag and drop your images or click to browse... 02 (3 points) Explain why the following expressions make no sense. (a)||u-: vii. (mu? v"+ w'.' (cw? (v7 WY. + Drag and drop your images or click to browse