Determinants Lecture 4

Antigenic determinants are

By using properties of determinants, prove the following: |x+4 2x2x2xx+4 2x2x2xx+4|=(5x+4)(4-x)^2

Using properties of determinants, prove that |[(a+1)(a+2),a+2,1],[(a+2)(a+3),a+3,1],[(a+3)(a+4),a+4,1]|=-2

Determine the current supplied by the battery in the circuit as shown (ii) Find currents in resistance 2 Omega and 4 Omega .

Evaluate the determinants |(2, 4),(-5,-1)|

Determine whether the inequality is TRUE or FALSE : (-3/4)^3 > -3/4

What is the value of the following determinant? Delta=|[4,a, b+c],[4,b, c+a],[4,c, a+b]|

If A is a square matrix of order 3 with determinant 4, then write the value of |-A| .

If D is determinant of order three of Delta is a determinant formed by the cofactors of determinant D: then

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