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" trinaline "(1)/(2)|-3i+j|(3)/(pi)...

" trinaline "(1)/(2)|-3i+j|(3)/(pi)

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Construct a 3 xx 4 matrix, whose elements are given by:(i) a_(i j)=1/2|-3i+j| (ii) a_(i j)=2i-j

Construct a 3 xx 4 matrix, whose elements are given by:(i) a_(i j)=1/2|-3i+j| (ii) a_(i j)=2i-j

Construct a 3 xx 4 matrix, whose elements are given by:(i) a_(i j)=1/2|-3i+j| (ii) a_(i j)=2i-j

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Let A = [a_(ij)] be 3 xx 3 matrix given by a_(ij) = {(((i+j)/(2))+(|i-j|)/(2),if i nej,),((i^(j)-(i.j))/(i^(2)+j^(2)),if i n=j,):} where a_(ij) denotes element of i^(th) row and j^(th) column of matrix A. On the basis of above information answer the following question: If a 3 xx3 matrix B is such that A^(2) +B^(2) = A +B^(2)A , then det. (sqrt(2)BA^(-1)) is equal to

Let overline a be vectors parallel to line of intersection of planes p_1 and p_2 through origin. If p_1 is parallel to the vectors 2overline j + 3 overline k and 4overline j - 3 overline k and p_2 is parallel to overline j - overline k and 3overline i - 3overline j, then the angle between overline a and 2overline i + overline j - 2overlinek is (A) pi/2 (B) pi/4 (C) pi/3 (D) pi/6