University of New Haven Linear Algebra Assignment Worksheet

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1. Consider the problem Ax=b and its reduced row echelon form Rx =c, with
[12
10-6
AJO 1
b
RO 1
2 2
LO 0 0
(a) (1 point) In R, circle the pivots. What is the rank of A?
(b) (1 point) Find a particular solution to Ax=b (if it exists).
rank(A)
particular solution: x=
(c) (1 point) Determine the special solution(s) that span(s) the null space N(A).
special solution(s): x
(d) (1 point) Find the complete solution to Ax=b.
(e) (1 point) “The columns of A form a basis of R3.
true
O false

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Particular solution

echelon form

Null Space

Special solution

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