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True or False (3 points each) Determine if each of the following statements is TRUE or FALSE. Choose TRUE if the statement is always true,
True or False (3 points each) Determine if each of the following statements is TRUE or FALSE. Choose TRUE if the statement is always true, and choose FALSE if it is not always true. Indicate your solution in the answer sheet on page 2. You need not provide any justification. 1. TRUE/FALSE If for matrices A. B. C the matrix products A . B and B . C are defined, then the matrix product A . C is also defined. 2. TRUE/FALSE A system of 3 linear equations with 3 variables always has at least one solution. 3. TRUE/FALSE If > is a nonzero scalar, then the angle between nonzero vectors vi, v2 equals the angle between Avi and v2. 4. TRUE/FALSE If a differentiable function f(x, y) is defined everywhere and attains a global minimum at (a, b) then Vf(a, b) = 0
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