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Quiz 13 (Section 8.1 - 8.4) Section 8.1: ( 2x - 3y+ z = 2 1. Consider the system: 3x - y + 2z =
Quiz 13 (Section 8.1 - 8.4) Section 8.1: ( 2x - 3y+ z = 2 1. Consider the system: 3x - y + 2z = -1 7x + 5z = -5 a) Put the following system in triangular form and solve. b) Is this system consistent or inconsistent? If consistent, is it dependent or independent? c) Check your answer algebraically. Section 8.2: 3x + 2y+ z =1 2. Consider the system: { x - y + 3z = -3 (2x + 5y - 11z = 8 a) Solve this system using an augmented matrix. b) Is this system consistent or inconsistent? If consistent, is it dependent or independent? c) Check your answer algebraically.Section 8.3: 3. If A is a 2 X 3 matrix and B is a 3 X 4 matrix, what is the dimension (size) of the matrix AB? 4. Let A = . Find and simplify A2 - 7A + 1412
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