MATH1002 Lecture 11: Determinants, eigenvalues and eigenvectors
24 Jul 2018
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1) deleting row i: the determinant det (a) For each row ( i ,j ) cofactor matrix n > 2 and. 61 is minor isn of a , j of. A and ad by matrix obtained denoted of a . (af) = c- 1) t the det ( aij ) minor delete row. We can calculate det (a) across any now or column theorem. Then for det (a) dlt (a) any any nxh row. 1ej t. tt ( - 1) en dlt and we have ( aij ) j aijco. * fix row i aij c- dttj det ( aij ) o aijcij fix colj egfind out. Her we expand across lcl: c- d. If b is obtained det (b) of determinants and elem row. 13 is obtained (b) kdet (a) by multiplying a roufad of a by scalar k. If b is another obtained rouycol by adding a multiple of det (a) of a (b) det one roufael to.
