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Chapter 1, Section 1.2, Question 08 Chapter 1, Section 1.1, Question 20 Solve the following linear system by Gauss elimination. Find all values of k for which the given augmented matrix corresponds to a consistent linear system. -2b + 6c = 2 (8 ) 6 8 3 2a + 6b - 2c = -8 4a + 10b + 3c = -10 If the system is inconsistent, type "NA" in the solution box. (a) The given augmented matrix corresponds to a consistent linear system only when k = -3/2. for all values of k. for no values of k. (b) The given augmented matrix corresponds to a consistent linear system Chapter 1, Section 1.7, Question 36 only when k = 0. Find all 3 x 3 diagonal matrices A that satisfy A- - 74 + 101 = 0. only when k = -4. IRED for this question: Open Show Work O [2 0 02 for all values of k. 0 2 0 5 for no values of k. 0 05 0 02 only when k = 0. O Chapter 1, Section 1.2, Question 25 sooz 0 0 0 5 Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions. 0 2 0 0 0 0 2 0 x + 3y - 2z = 5 O 0 0 3x - y + 2z = 3 0 0 0 5x + 5y + (a2 - 11 )z = a + 10 O ON' 0 0 5 0 0 For a = there is no solution 0 0 2 0 05 ooo For there are infinitely many solutions. O [2 0 02 0 0 0 0 5 0 0 0 0] 0 0 [5 0 0 the system has exactly one solution. 020 02 0 0 50 020 050 02 0 0 0 5 0 For a # # 2 0 0 02 0 02 0 05 0 05 0 02 0 0 5