# The vector c is in the range of t the vector c is not

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The vector c is in the range of T The vector c is not in the range of T n × n b 0 R n , A x = True. Since A 0 = 0 b , 0 is a solution to A x = b , and hence the set of solutions is not a subspace. . . b True. Since A 0 = 0 b , 0 is a not solution to A x = b , and hence the set of solutions is not a subspace.
False. Since A 0 = 0 b , 0 is a solution to A x = b , and hence the set of solutions is a subspace.
17. 1/1 points | Previous Answers HoltLinAlg1 4.1.046. Determine if the statement is true or false, and justify your answer. If A is a matrix, then null( A ) forms a subspace of 5 × 3 R 5 True, by the theorem that says if A is an n × m matrix, then the set of solutions to the homogeneous linear system A x = 0 forms a subspace of R . n . False. For any 5 × 3 matrix A , null( A ) is a subspace of R 3 . 2 .
18. 1/1 points | Previous Answers HoltLinAlg1 4.1.048. Determine if the statement is true or false, and justify your answer. Let be a linear transformation. Then is a subspace of False. For any 5 × 3 matrix A , null( A ) is a subspace of R . 8 . . T . . . . .
19. 1/1 points | Previous Answers HoltLinAlg1 4.1.050. Determine if the statement is true or false, and justify your answer. Let be a linear transformation. Then is a subspace of 20. 1/1 points | Previous Answers HoltLinAlg1 4.1.058.