# 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 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) = n

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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.

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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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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