Without expanding, show that the value of each of the following determinant is zero: \begin{vmatrix} 8 & 2 & 7 \\ 12 & 3 & 5 \\ 16 & 4 & 3 \\ \end{vmatrix}

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

Without expanding, show that the value of each of the determinants is zero: |1/a a^2 bc 1/b b^2 ac 1/c c^2 ab|

Without expanding, show that the value of each of the determinants is zero: |a+b2a+b3a+b2a+b3a+b4a+b4a+b5a+b6a+b|

Find the values of the following determinants |{:(3,4),(1,2):}|

Without expanding, show that the value of each of the determinants is zero: |[1,a, a^2-bc],[1,b,b^2-ac],[1,c,c^2-ab]|

Without expanding, show that the value of each of the following determinants is zero: |1^2 2^2 3^2 4^2\ \ \ 2^2 3^2 4^2 5^2\ \ \ 3^2 4^2 5^2 6^2\ \ \ 4^2 5^2 6^2 7^2| (ii) |a b c a+2x b+2y c+2z x y z| (iii) |(2^x+2^(-x))^2(2^x-2^(-x))^2 1(3^x+3^(-x))^2(3^x-3^(-x))^2 1(4^x+4^(-x))^2(4^x-4^(-x))^2 1|

Without expanding the determinant, show that (a+b+c) is a factor of the determinant of . \begin{pmatrix} a & b & c \\ b & c & a \\ c & a & b \\ \end{pmatrix}

Without expanding, show that the value of each of the determinants is zero: |"cos"(x+y) \-sin(x+y) \cos2y\ sinx\ cosx\ siny\ -cosx \ sinx \ -cosy|

Assign a truth value to each of the following statements : 5 ×3=16 vv 8 + 7 =18

Without expanding, show that the value of each of the following determinants is zero: |1//a , a^2b c1//bb^2a c1//cc^2a b| (ii) |a+b2a+b3a+b2a+b3a+b4a+b4a+b5a+b6a+b| (iii) |1a a^2 1bb^2 1cc^2\ \ \ -b c-a c-a b|