J L 12 The Dimension Of The Row Space Of A 4x5matrix A Is 3 A 2 Pts What Is The Dimension Of The Column Space Of A 1 (27.21 KiB) Viewed 10 times
J L 12. The dimension of the row space of a 4x5matrix A is 3. a. (2 pts) What is the dimension of the column space of A? b. (2 pts) What is the rank of A? c. (2 pts) What is the nullity of A? d. (2 pts) What is the dimension of the solution space of the homogeneous system Ax = 0?
11. You are given a matrix A, its rref R, and the rref R' of A¹. a. (3 pts) Find a basis for rowspace (A), colspace(A), and nullspace (A), if possible, using only the information found in A and R. b. (3 pts) Find a basis for nullspace(A¹) using only the information found in R'. c. (2 pts) State the rank and nullity of A and AT. 32 8 9 10 -⠀⠀ 5 7 6 4 ;R 0 1 -2 -3 0000 16 29 -6 -7 5 R' 10-3 = 015 000 000
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