Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
I do not understand where I am going wrong. Please provide an explanation. Thank you

Transcribed Image Text:Let
a. A basis for the column space of A is { <1,0,0>,<0,1,0>
coordinate vectors, such as <1,2,3>,<4,5,6>
b. The dimension of the column space of A is 2
✔A. Two of the three columns in rref(A) have pivots.
B. rref(A) has a pivot in every row.
C. rref(A) is the identity matrix.
D. Two of the three columns in rref(A) do not have a pivot.
E. The basis we found for the column space of A has two vectors.
F. Two of the three columns in rref(A) are free variable columns.
c. The column space of A is a subspace of R^3
=
3
-2 7
3 -8
-2
−1 −1 1
}. You should be able to explain and justify your answer. Enter a coordinate vector,
because (select all correct answers there may be more than one correct answer):
because each column of A is a vector in R^3 ✓
d. The geometry of the column space of A is a 2-dimensional plane through the origin inside R^3
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