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Advanced MathQ&A LibraryLet 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 choicesa) A is nxn in sizeb) det(A) = 0c) We cannot determine the rank of Ad) A is singulare) We cannot determine the determinant of Af) rank(A) = 1g) A is 1x1 in sizeh) rank(A) = nQuestion

Asked Nov 13, 2019

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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

Step 1

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

Given vectors are,

Step 2

Now, matrix A is,

Step 3

Since, dimension of transpose of a is nx1 and dimension of b is 1xn.

Hence, the dimen...

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