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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
- |[3421, 3422],[3423,3424]|=
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- Let A=[[200,50],[10,2]] B=[[50,40],[2,3]]. Then the value of the deter...
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- If k is a scalar and A is a n -square matrix, then |k A|=
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- The value of |[2 , 3, 1],[-3,-1, -4],[-2,-5,-3]|=
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- |[4 sin ^2 theta, cos 2 theta],[ -cos 2 theta,cos ^2 theta]| =
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- |(x, 4, y+z),(y, 4, z+x),(z, 4, x+y)|=
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- Prove that |(b+c,a,a),(b,c+a,b),(c,c,a+b)|= 4ac
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- The value of |(1,1,1),(bc,ca,ab),(b+c,c+a,a+b)|
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- Using the property of determinants and without expanding {:[( a-b,b-...
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- The value of |[2,1,1 ],[1,2,1],[1, 1, 2]|=
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- |(x, 4, y+z),(y, 4, z+x),(z, 4, x+y)|=
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- |[1, x, x^2 ],[1, y, y^2],[1, z, z^2]|=
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- |(a,b,c),(b,c,a),(c,a,b)| =
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- |[1, a, a^2-b c],[1,b, b^2-c a],[1,c, c^2-a b]|=
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- |(b^(2)c^(2),bc,b+c),(c^(2)a^(2),ca,c+a),(a^(2)+b^(2),ab,a+b)|=
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- If |[ x+1 ,2 ,3],[1 , x+2,3],[1, 2, x+3]|=0, then x=0 and
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- The factors of |[x,a,b],[a,x,b],[a,b,x]|are
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- If |[1,2,3],[2,x,3],[3,4,5]|=0 then x=
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- The roots of the equation |[0,x,16],[x,5,7],[0,9,x]|= 0 are
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- The roots of the equation |[2+x,3,-4],[2,3+x,-4],[2,3,-4+x]|=0 are
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