Evalute the determinants in queations 1 and 2 :
Find the values of x, if
(i) `|{:(2,4),(5,1):}|=|{:(2x,4),(6,x):}|`
(ii)`|{:(2,3),(4,5):}|=|{:(x,3),(2x,5):}|`

Find values of x,if (i) |{:(2,4),(5,1):}|=|{:(2x,4),(6,x):}|

Find the matrix X so that , X[{:(1,2,3),(4,5,6):}]=[{:(-7,-8,-9),(2,4,6):}] .

Find the value of x and y from the equation. [{:(3x+7,5),(y+1,2-3x):}]=[{:(-2,5),(1,11):}]

If [{:(x,0),(1,y):}]-[{:(2,-4),(-3,-4):}]=[{:(3,5),(6,3):}]-[{:(2,1),(2,1):}] then , x=…., y=…..

Find x , if [x-5-1][{:(1,0,2),(0,2,1),(2,0,3):}][{:(x),(4),(1):}]=O .

Find the values of x, y and z from the following equations : (i) [{:(4,3),(x,5):}]=[{:(y,z),(1,5):}] (ii) [{:(x+y,2),(5+z,xy):}]=[{:(6,2),(5,8):}] (iii) [{:(x+y+z),(x+z),(y+z):}]=[{:(9),(5),(7):}]

Find the derivatives of the following : (i) (x^(3)3x^(2)+4)(4x^(5)+x^(2)-1) (ii) (9x^(2))/(x-3)

If x=-2-sqrt(3)i then find the value of 2x^(4)+5x^(3)+7x^(2)-x+41

Find the value of the polynomial 5x - 4x^(2) + 3 at x = 2.