Determinants Lecture 6

Antigenic determinants are

Using determinants, find the area of the triangle with vertices (-3, 5), (3, -6) and (7, 2).

Without expanding, show that the value of the following determinant is zero: |[49, 1, 6], [39, 7, 4], [26, 2, 3]|

Using properties of determinants, prove that |[a, a+b, a+b+c],[2a,3a+2b,4a+3b+2c],[3a,6a+3b,10a+6b+3c]|=a^3

Using properties of determinants, prove that: |{:(a, a +b, a+b+c),(2a, 3a + 2b, 4a + 3b + 2c),(3a, 6a+3b, 10a + 6b + 3c):}| = a^(3)

If .^nC_8=^nC_6 , determine n and hence .^nC_2

If A=[(1, 2,3),(4, 5, 6)] and B=[(1, 4),(2, 5), (3, 6)] , then the determinant value of BA is

Find the minor of element 6 in the determinant Delta=|1 2 3 4 5 6 7 8 9|

Determine the degree of association (polymerization) for the reaction in aqueous solution, if observed (mean) molar mass of HCHO and C_(6)H_(12)O_(6) is 150 : 6HCHOhArrC_(6)H_(12)O_(6)

Determine whether '+_6' on S={0,\ 1,\ 2,\ 3,\ 4,\ 5} defined by a+_6b={a+b ,\ if\ a+b<6a+b-6,\ if\ a+bgeq6 define a binary operation on the given set or not: