MATH 2211 Midterm: Exam3210Sample2Ans

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31 Jan 2019
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Then we get det(a) = det(( 1)at ) = ( 1)3det(at ) = ( 1)3det(a) = det(a), i. e. , Or calculate the determinant with respect to any column or any row of your choice. Find the inverse of the following matrix using inverse formula: Apply the inverse formula(see example 3) given on page 203: we have det(a) = 6. De ne the linear transformation t : p2 p2 by a. ) Determine whether p(x) = 2x2 4x + 6 is in the range of t. T(ax2 + bx + c) = ax2 + (a 2b)x + b. First, we nd the corresponding transformation s : r3 r3. We use the ordered standard basis b = Thus, the corresponding transformation s : r3 r3 de ned by. The standard matrix of s is given as (c, b, a) 7 (b, a 2b, a). The vector corresponding to the polynomial p is [p]b = (6, 4, 2) = b.

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