Asked Nov 13, 2019

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

Expert Answer

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,


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a-[a,a,Jand b=[1,2....] Matrix A ab

Step 2

Now, matrix A is,


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4- [а, а,.а, f [12. а, 2а, а, па, а, 2а, па, 1,2 = а, 2а, па, а,

Step 3

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

Hence, the dimen...


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Dimension of A -(nx1) x(1xn) —Dпхп


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