Let vectors a = [ α 1 , α 2 , … , α n ] a n d b = [ 1 , 2 , … , n ] and form a matrix A = a T b . Select all of the following statements that are correct. Group of answer choices a) A is nxn in size b) det(A) = 0 c) We cannot determine the rank of A d) A is singular e) We cannot determine the determinant of A f) rank(A) = 1 g) A is 1x1 in size h) rank(A) = n
Let vectors a = [ α 1 , α 2 , … , α n ] a n d b = [ 1 , 2 , … , n ] and form a matrix A = a T b . Select all of the following statements that are correct. Group of answer choices a) A is nxn in size b) det(A) = 0 c) We cannot determine the rank of A d) A is singular e) We cannot determine the determinant of A f) rank(A) = 1 g) A is 1x1 in size h) rank(A) = n
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 vectors a = [ α 1 , α 2 , … , α n ] a n d b = [ 1 , 2 , … , n ] and form a matrix A = a T b .
Select all of the following statements that are correct.
Group of answer choices
a) A is nxn in size
b) det(A) = 0
c) We cannot determine the rank of A
d) A is singular
e) We cannot determine the determinant of A
f) rank(A) = 1
g) A is 1x1 in size
h) rank(A) = n
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