A property of determinants states that if B is the matrix obtained from A by adding
a multiple of row i to row j, then detB=detA.
(a) Use this fact to express
detA=|[3,3,1,-2],[2,2,0,-2],[-8,-6,-3,2],[6,9,3,2]|
as a 3 imes 3 determinant.
(b) Use the result in (a) to calculate detA
A property of determinants states that if B is the matrix obtained from A by adding a multiple of row i to row j, then det B = det A.
(a) Use this fact to express
3 3 1 2 2 2 2 det A = 8 -6 3 2 6 9 3 2
as a 3 3 determinant.
(b) Use the result in (a) to calculate det A