Question: 4 16. BEIG]. LED is a basis for R2. If [x]= = find the vector x.17. Suppose A is a 4 x 3 matrix, and

 4 16. BEIG]. LED is a basis for R2. If [x]== find the vector x.17. Suppose A is a 4 x 3matrix, and 0 is the only vector x for which Ax =0. What is the dimension of the column space of A?1 318. Let A = -1 - 2 - 1 , and let

4 16. BEIG]. LED is a basis for R2. If [x]= = find the vector x.17. Suppose A is a 4 x 3 matrix, and 0 is the only vector x for which Ax = 0. What is the dimension of the column space of A?1 3 18. Let A = -1 - 2 - 1 , and let 7: R - R* be defined by T(x) = Ax. Is Tone-to-one? How 0 1. do you know? Is T onto? How do you know?11 19. Is the vector -4 in the null space of the matrix OooN ? How do you know? 0 0 0 217 - 4 20. Is the vector -4 in the column space of the matrix 1 ? How do you know? OC 0

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