Assertion (A): In an open Leontief input-output model, the gross output vector X is given by X = (I - A)-1d, where d is the final demand vector. Reason (R): The Hawkins-Simon conditions ensure that (I - A)-1 exists and all its elements are non-negative. Choose the most appropriate answer:

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Mathematics · Matrix Applications

Assertion (A): In an open Leontief input-output model, the gross output vector X is given by X = (I - A)-1d, where d is the final demand vector. Reason (R): The Hawkins-Simon conditions ensure that (I - A)-1 exists and all its elements are non-negative. Choose the most appropriate answer:

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Both A and R are true, and R is the correct explanation of A

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Answer 1

A is false but R is true

Answer 2

A is true but R is false

Answer 3

Both A and R are true, but R is NOT the correct explanation of A

Answer 4

Both A and R are true, and R is the correct explanation of A

Assertion (A): In an open Leontief input-output model, the gross output vector X is given by X = (I - A)-1d, where d is the final demand vector. Reason (R): The Hawkins-Simon conditions ensure that (I - A)-1 exists and all its elements are non-negative. Choose the most appropriate answer:

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Assertion (A): In an open Leontief input-output model, the gross output vector X is given by X = (I - A)-1d, where d is the final demand vector. Reason (R): The Hawkins-Simon conditions ensure that (I - A)-1 exists and all its elements are non-negative. Choose the most appropriate answer:

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