7. For this item up to item # 10, consider the matrix transformation L defined by A−⎝⎛103220543220⎠⎞. Which of the
Posted: Thu Jul 14, 2022 3:57 pm
7. For this item up to item # 10, consider the matrix transformation L defined by A−⎝⎛103220543220⎠⎞. Which of the following is equal to L⎝⎛1111⎠⎞ ? (a) ⎝⎛1086⎠⎞ (b) ⎝⎛1068⎠⎞ (c)⎝⎛6810⎠⎞ (d)⎝⎛6108⎠⎞ 8. Which of the following vectors is an element of ker L ? (a) ⎝⎛−1−211⎠⎞ (b) ⎝⎛0−111⎠⎞ (c) ⎝⎛−1−111⎠⎞ (d) ⎝⎛−1−311⎠⎞ 9. What is the rank of L defined in the previous item? (a) 1 (b) 2 (c) 3 (d) 4 10. Which of the following is truce about L as defined in item (7)? (a) ρ(L)−ν(L) (b) L is a monomorphism. (c) L is an epimorphism. (d) L is an antomorphism.