MATH-205 Midterm: Bates MATH 205 031910ross205exam

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7 Mar 2019
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; then [ a | i4 ] is row-equivalent to . If so, nd a basis for the eigenspace of 0, if 0 is not an eigenvalue, explain why not. (you do not need to nd any polynomials in this problem!) ; and [ a | i4 ] is row-equivalent to. Find all conditions both necessary and su cient for a vector b with entries b1, . Find a non-zero vector which is in col(a) but not col(r). Find a non-zero vector which is in col(r) but not col(a). Find a non-zero vector which is in both col(a) and col(r). Name: suppose an economy is modeled with four sectors a, b, c, and d. suppose that sector c consumes 1/4 of every sector"s output, including that of c itself. Suppose that the output of a is equally divided by and consumed by all four sectors.

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