MATH 3510 Chapter Notes - Chapter 6: Asteroid Family, John Wiley & Sons, Laplace Expansion
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Which agrees with the cofactor expansions along the first row. E x a m p l e 7 a technique for evaluating 2 2 and 3 3 determinants. Concept review: determinant, minor, cofactor, cofactor expansion. In exercises 1 2, find all the minors and cofactors of the matrix a. In exercises 5 8, evaluate the determinant of the given matrix. If the matrix is invertible, use equation 2 to find its inverse. In exercises 9 14, use the arrow technique to evaluate the determinant of the given matrix. In exercises 15 18, find all values of for which. In exercises 21 26, evaluate by a cofactor expansion along a row or column of your choice. In exercises 27 32, evaluate the determinant of the given matrix by inspection. 6: show that the value of the following determinant is independent of . In parts (a) (i) determine whether the statement is true or false, and justify your answer. (a)
