Question

Let A be an m × n matrix The image of A is the set of vectors m(A) = {y : y = Ax for some x E Rn). which is a vector space The dimension of im(A) is called the rank of A, denoted by rank(A) (a) Find the rank of the matrix -62 1110 142 441 100-234 -1786478 46 -115 -46 -46 69 -122 85 150 174 -685 and enter in the box below rank(A) in应答 评分: 01 0 Note The Maple command for find the rank of A is Rank (A), upper case R To avoid typing errors, you may copy and paste the following sequence of entries 62,-100,-46,-122, 1,-234,-115, -85,-110,-178,-46, 150, 142, -6,-46,-174, 441, 478, 69,-685 (b) For the matrix A in (a), select all the statements below which are true im(A) is subspace of R o is in im(a) 16 -461 isinma). 12 You may copy and paste the entries 16,-92,46,-12

Answer 1

a) ank (A)3 16 一4-6 - 12