If `|(a,a^2,1+a^3),(b,b^2,1+b^3),(c,c^2,1+c^2)|=0` and vectors `(1,a,a^2),(1,b,b^2) and (1,c,c^2)`

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If |[ a a^2 1+a^3; b b^2 1+b^3; c c^2 1+c^3 ]|=0 and vectors (1, a, a^2)(1, b, ... If |[ a a^2 1+a^3; b b^2 1+b^3; c c^2 1+c^3 ]|=0 and vectors (1, a, a^2)(1, b, ...
If A=[[1, 1, -1], [2, 0, 3], [3, -1, 2]] B=[[1, 3], [0,2], [-1,4]] and C=[[1, 2, 3, -4], [2, 0, -2, If A=[[1, 1, -1], [2, 0, 3], [3, -1, 2]] B=[[1, 3], [0,2], [-1,4]] and C=[[1, 2, 3, -4], [2, 0, -2,
Let B=[1 3 1 5] and A be a 2*2 Matrix such that AB^-1=A^-1. If BCB^-1=A and C^4+aC^2+BI=0, then 2B-a Let B=[1 3 1 5] and A be a 2*2 Matrix such that AB^-1=A^-1. If BCB^-1=A and C^4+aC^2+BI=0, then 2B-a
If a^2+b^2+c^2=-2 and f(x)=|■(1+a^2 x&(1+b^2 )x&(1+c^2 )x@(1+a^2)x If a^2+b^2+c^2=-2 and f(x)=|■(1+a^2 x&(1+b^2 )x&(1+c^2 )x@(1+a^2)x
Vectors (GCE 2021 paper 2) Vectors (GCE 2021 paper 2)
By using properties of determinants, show that: (i) |[ 1 a a^2; 1 b b^2; 1 c c^2 ]|=(... By using properties of determinants, show that: (i) |[ 1 a a^2; 1 b b^2; 1 c c^2 ]|=(...
If A=[1 2 -3 5 0 2 1 -1 1],B=[1 -1 2 4 2 5 2 0 3] C=[4 1 2 0 3 2 1 -2 3], then compute (A+B)&(B-C) If A=[1 2 -3 5 0 2 1 -1 1],B=[1 -1 2 4 2 5 2 0 3] C=[4 1 2 0 3 2 1 -2 3], then compute (A+B)&(B-C)
If `1/a+1/b+1/c =1 and abc =2` then find `ab^2c^2+a^2bc^2+a^2b^2c` is If `1/a+1/b+1/c =1 and abc =2` then find `ab^2c^2+a^2bc^2+a^2b^2c` is