MAT 1302 Midterm: wm12-2

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31 Jan 2019
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MAT 1302 Full Course Notes
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MAT 1302 Full Course Notes
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The reverse side of pages is for scrap work. If you nd that you need extra space in order to answer a particular question, you should continue on the reverse side of the page and indicate this clearly. Please do not write in the table below. [5 pts] (a) calculate the determinant of the following matrix: If a is invertible, nd the determinant of a 1. [5 pts] (a) if possible, nd the inverse of the matrix a below. 2 0 3 (b) suppose ~b r3. [6 pts] the two parts of this question are independent of one another. (a) suppose a = . And c is a 3 3 matrix such that. Find det c. hint: use the properties of determinants. Mat 1302b second midterm test white version (b) suppose a and b are 4 4 invertible matrices. Find a matrix x satisfying the matrix equation. A 1 (cid:0)i + 2b(3x + i)t(cid:1) a = 2i + a.