In the matrix `A=[(8, 9, 4, 3), (-1, sqrt(7), (sqrt(3))/(2), 5), (1, 4, 3, 0), (6, 8, -11, 1)]`, write
Write the elements `a_(22), a_(23), a_(24), a_(34), a_(43), a_(44)`,

If A=[(2, 1, 3, 4), (5, 9, -4, sqrt(7)), (3, (5)/(2), 8, 9), (7, 0, 1, 4)] then find the element of a_(43)=___ .

If a_(1), a_(2) , ……. A_(n) are in H.P., then the expression a_(1)a_(2) + a_(2)a_(3) + ….. + a_(n - 1)a_(n) is equal to

Let A=[a_("ij")]_(3xx3) be a matrix such that A A^(T)=4I and a_("ij")+2c_("ij")=0 , where C_("ij") is the cofactor of a_("ij") and I is the unit matrix of order 3. |(a_(11)+4,a_(12),a_(13)),(a_(21),a_(22)+4,a_(23)),(a_(31),a_(32),a_(33)+4)|+5 lambda|(a_(11)+1,a_(12),a_(13)),(a_(21),a_(22)+1,a_(23)),(a_(31),a_(32),a_(33)+1)|=0 then the value of lambda is

If a_(1), a_(2), a_(3), a_(4), a_(5) and a_(6) are six arithmetic means between 3 and 31, then a_(6) - a_(5) and a_(1) + a_(6) are respectively =

if a_(r) = (cos 2r pi + I sin 2 r pi)^(1//9) then prove that |{:(a_(1),,a_(2),,a_(3)),(a^(4) ,,a^(5),,a_(6)),( a_(7),, a_(8),,a_(9)):}|=0

If the sequence a_(1),a_(2),a_(3) ,…….. Is an A.P., then the sequence a_(5), a_(10), a_(15) ,…….. Is ………..

If a_(1),a_(2)a_(3),….,a_(15) are in A.P and a_(1)+a_(8)+a_(15)=15 , then a_(2)+a_(3)+a_(8)+a_(13)+a_(14) is equal to

Find the respective terms for the following Aps: (i) a_(1) =2, a_(3) = 26 find a_(2) (ii) a_(2) =13, a_(4) = 3 find a_(1), a_(3) (iii) a_(1) =5, a_(4) = -22 find a_(1),a_(3),a_(4),a_(5)