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AAKASH SERIES-MATRICES -DETERMINANTS- EXERCISE - I
- Elements of [(1,-1,0),(0,4,2),(3,-4,6)] with their cofactors and choos...
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- Find the determinant of the matrix [(1^(2),2^(2),3^(2)),(2^(2),3^(2),4...
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- |{:(1,w,w^(2)),(w,w^(2),1),(w^(2),1,w):}| =
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- If A = [{:(1,0,1),(2,1,0),(3,2,1):}] then det A is equal to
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- |(x,1,y+z),(y,1,z+x),(z,1,x+y)|=
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- |(1,bc,a(b+c)),(1,ca,b(c+a)),(1,ab,c(a+b))|=
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- |(1,1,1),(a,b,c),(a^(2)-bc,b^(2)-ca,c^(2)-ab)|=
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- If x!=0 and |(1,x,2x),(1,3x,5x),(1,3,4)|=0 then x=
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- If 1/a+1/b+1/c=0 then |(1+a,1,1),(1,1+b,1),(1,1,1+c)|=
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- |(loge, loge^(2),loge^(3)),(loge^(2),loge^(3),loge^(4)),(loge^(3),loge...
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- |(ax,by,cz),(x^(2),y^(2),z^(2)),(1,1,1)|=
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- If ((1,2,x),(4,-1,7),(2,4,-6)) is a singular matrix, then x=
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- If the matrix [(cos theta, sin theta, 0),(sin theta, cos theta, 0),(0,...
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- The matrix |(1,0,0),(2,1,0),(3,1,1)| is
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- If abc!=0 and if |(a,b,c),(b,c,a),(c,a,b)|=0 then (a^(3)+b^(3)+c^(3))/...
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