Question: PROBLEM 7 Let A := k+1 k+2 k -2 k-1 , where k is some real number. Which of the following is false? (a) A

PROBLEM 7 Let A := k+1 k+2 k -2 k-1 , where k is some real number. Which of the following is false? (a) A is invertible for all k (b) A" is invertible for all k (c) A - / is not invertible for some k (d) The second row of A is a multiple of the first row of A for some k (e) none of these PROBLEM 8 Which of the following is always true? (a) If some row echelon form of the coefficient matrix of a linear system has a zero row, then the system is inconsistent. b) If a row echelon form of the augmented matrix of a linear system has a zero row, then the system has infinitely many solutions (c) If a linear system has exactly one solution, then every row echelon form of the augmented matrix cannot have a zero row (d) If a linear system of more than one equation has a unique solution. then discarding one equation from it will result in a system having a unique solution () none of these

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