Question: [20 points] For the following questions answer true or false- If true, justify your answer with a short argument. If false, give a counter example

[20 points] For the following questions answer true or false- If true, justify your answer with a short argument. If false, give a counter example or sufcient explanation. (i) The union of the xaxis and the y-axis is a subspace of R2 (ii) For matrices A, B and C, if AC = BC, then A = 3. (iii) A single vector set is always linearly independent. (iv) Suppose A and B are square matrices and AB is invertible. Then B is also invertible

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