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PROBLEM #4 (4 marks) TRUE OR FALSE? State whether the following are TRUE or FALSE. If the statement is true, simply state it is true. If it is false, explain why or give an example that shows it is false. (a) If the number of unknowns in a linear system exceeds the number of equations, then the system must be consistent. (b) If A is row equivalent to I, then AX = 0 has only the trivial solution. PROBLEM #6 (6 marks) (a) Let A andy be nxn symmetric matrices of the same order. Prove that AB + BA is also symmetric. Make sure to show all relevant steps. (b) Fill in the missing entries (marked with x) so the matrix C is skew-symmetric. C = X X 5 4 x X

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