If `[[x^2-4x,x^2],[x^2,x^3]]`=`[[-3,1],[-x+2,1]]` (then find r.)

If |[1,x,x^2] , [x,x^2,1] , [x^2,1,x]|=3 then find the value of |[x^3-1, 0, x-x^4] , [0,x-x^4, x^3-1] , [x-x^4, x^3-1, 0]|

" (a) If "A=[[2,1],[-1,3]]" and "f(x)=x^(2)-4x+2," then find "f(A)

If A=2x^(3)-3x^(2)-4x+5, B=2x^(2)-x^(3)+1 and C=x^(2)+x+2 , then find the degree of A+2B-C.

The , total number of distinct x in R for which det[[x,x^(2),1+x^(3)2x,4x^(2),1+8x^(3)3x,9x^(2),1+27x^(3)]]=10 is (A)0(B)1(C)2 (D) 3,

If |1xx^2xx^2 1x^2 1x|=, then find the value of |x^3-1 0x-x^4 0x-x^4x^3-1x-x^4x^3-1 0|

Let f:R rarr R be defined as f(x)=x^(3)+3x^(2)+6x-5+4e^(2x) and g(x)=f^(-1)(x) ,then find g'(-1)

If p(x)=x^(5)+4x^(4)-3x^(2)+1 " and" g(x)=x^(2)+2 , then divide p(x) by g(x) and find quotient q(x) and remainder r(x).