Let b. The dimension of the null space of A is A. rref(A) has a pivot in every row. B. rref(A) is the identity matrix. OC. Two of the four columns in rref(A) have pivots. D. rref(A) has one free variable column. E. The basis we found for the null space of A has three vectors. a. A basis for the null space of A is { <1,2,3,4>, or a comma separated list of coordinate vectors, such as <1,2>, <3,4> or <1,2,3,4>, <5,6,7,8>. OF. rref(A) has three free variable columns. OG. Three of the four columns in rref(A) do not have a pivot. c. The null space of A is a subspace of A = d. The geometry of the null space of A is choose 1 -2 2 -3 6 -6 }. You should be able to explain and justify your answer. Enter a coordinate vector, such as <1,2> or because (select all correct answers -- there may be more than one correct answer): because choose
Let b. The dimension of the null space of A is A. rref(A) has a pivot in every row. B. rref(A) is the identity matrix. OC. Two of the four columns in rref(A) have pivots. D. rref(A) has one free variable column. E. The basis we found for the null space of A has three vectors. a. A basis for the null space of A is { <1,2,3,4>, or a comma separated list of coordinate vectors, such as <1,2>, <3,4> or <1,2,3,4>, <5,6,7,8>. OF. rref(A) has three free variable columns. OG. Three of the four columns in rref(A) do not have a pivot. c. The null space of A is a subspace of A = d. The geometry of the null space of A is choose 1 -2 2 -3 6 -6 }. You should be able to explain and justify your answer. Enter a coordinate vector, such as <1,2> or because (select all correct answers -- there may be more than one correct answer): because choose
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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Don't left one part as it's
Please do all parts
And please mention defitions used in it
Transcribed Image Text:Let
b. The dimension of the null space of A is
A. rref(A) has a pivot in every row.
B. rref(A) is the identity matrix.
OC. Two of the four columns in rref(A) have pivots.
D. rref(A) has one free variable column.
OE. The basis we found for the null space of A has three vectors.
F. rref (A) has three free variable columns.
G. Three of the four columns in rref(A) do not have a pivot.
c. The null space of A is a subspace of
A =
a. A basis for the null space of A is {
<1,2,3,4>, or a comma separated list of coordinate vectors, such as <1,2>, <3,4> or <1,2,3,4>,<5,6,7,8>.
d. The geometry of the null space of A is choose
1
-3
-2 2 -2
6 -6 6
}. You should be able to explain and justify your answer. Enter a coordinate vector, such as <1,2> or
because (select all correct answers -- there may be more than one correct answer):
because choose
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