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Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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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