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please answer all questions and show all work thank you Math 310-2 HOMEWORK #6 Date Due...

please answer all questions and show all work

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Math 310-2 HOMEWORK #6 Date Due 4/14/20 1 1 0 -2 1 0 0 -1 -3 1 3 1. Let A= | -2 -1 1 -1 3 1. The reduced row-echelon form 0 3

Math 310-2 HOMEWORK #6 Date Due 4/14/20 1 1 0 -2 1 0 0 -1 -3 1 3 1. Let A= | -2 -1 1 -1 3 1. The reduced row-echelon form 0 390 -12) /1 0 -2 0 1 0 1 3 0 - 4 of A is 1. Find the following: 1 0 0 0 1 -1 10 0 0 0 0 (a) A basis for the null space of A. (b) A basis for the column space of A. (c) Find the nullity of A (d) Rank A 2. Find the coordinate matrix of 1 = 2 relative to the basis B={(1):1-3):) B = 1 0 -1 , 3 3. The rank of a 3 x 5 matrix A is 2. What is the nullity of A? 4. Let A be a mxn matrix, where m <n, whose rank is r. (a) What is the largest value r can be? (b) How many vectors are in a basis for Col A?
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