MATH 1004 Midterm: MATH1004 Term Test 2 2012 Fall Solutions

• School: Carleton University
• Department: Mathematics
• Course: MATH 1004
• Professor: All

Document Summary

The cofactor is computed at a place by ignoring all the row and column elements to which the element belongs. For the element aij, (-1)^{i+j} is to be multiplied with the cofactor product: here the given matrix a is : The cofactor method of finding the determinant of a matrix works along any row or any column of the matrix. To simplify and reduce the calculations, we choose the row or column with the maximum number of zeroes. So, as first row has two 0"s, we expand along that row. In these determinants again, we choose the rows with maximum number of 0"s to reduce the calculations. So, expand the first matrix along row 3 and second matrix along. Column 1 and multiply with their respective cofactors. Therefore, is the correct answer: elementary row transformations are used to reduce elements of the matrix to 0. Elementary transformations are done by computing row transformations.