10. Use the fact that matrices A and B are row-equivalent 4 = = -2 -5 8 0 17 13 -5 15 3 11 -19 7 1 1 7 13 5 3 B= 1 0 1 0

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10 Use The Fact That Matrices A And B Are Row Equivalent 4 2 5 8 0 17 13 5 15 3 11 19 7 1 1 7 13 5 3 B 1 0 1 0 1 (57.33 KiB) Viewed 13 times

10. Use the fact that matrices A and B are row-equivalent 4 = = -2 -5 8 0 17 13 -5 15 3 11 -19 7 1 1 7 13 5 3 B= 1 0 1 0 1 0 1 2 0 3 00 0 1 -5 00000 a. (2 pts) Find the rank and nullity of A. b. (2 pts) Find a basis for the null-space of 4. Find a basis for the row space of A. c. (2 pts) d. (2 pts) Find a basis for the column space A. e. (2 pts) Determine whether the rows of A are linearly independent. f. (2 pts) Let the columns of A be denoted by a1, a2, a3, a4, and a5.Determine whether each set is linearly independent. (i) {a1, a2, a4} (ii) {a₁,a2, a3} (iii) {a1, a3, as}