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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
- If A be a square matrix of order 3. If |A|=-2 then the value of the de...
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- If A = [[0,-i,1],[0,2,-3],[2,1,0]] and B=adj A, C=5A, then |ad j B|/|...
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- If A = [[a,0,0],[0,a,0],[0,0,a]] then |adj A|=
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- The inverse of a symmetric matrix is
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- Let X = [[x1],[x2],[x3]], A= [[1,-1,2],[2,0,1],[3,2,1]] and B= [[3],[...
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- If A is a 3xx 3 non-singular matrix such that A=A^-1 and |A| ne 1, the...
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- Let X = [[x],[y],[z]], D= [[3],[5],[11]] and A= [[1,-1,2],[2,1,1],[4,-...
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- If A = [[4,-3],[-2,2]] and I is the unit matrix of order 2, then A^2=
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- If A is symmetric as well as skew symmetric then A
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- The eigen values of the matrix A = [[2,3,0],[0,1,0],[0,0,2]] are
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- If A= [[2,-3],[2,-4]] then |A^2+2 A|=
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- The constant term in the characteristic polynomial of the matrix A =...
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- The constant term in the characteristic polynomial of the matrix A= [[...
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- If A is a square matrix such that A^2=A then det A=
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- Let A and B are matrices such that A+B and B A are both defined, then
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- Let A= [[1,-1],[2,-1]]and B= [[1,a],[4,b]]. If (A+B)^2=A^2+B^2 , then...
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- If A= [[x,1],[1,0]] and A^2=I then x=
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- If I= [[1,0],[0,1]] and J= [[0,1],[-1,0]] and B = [[cos theta, sin the...
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- If A = [[1,2], [5,4]] then (A+I)(A-6 I)=
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- If [[i,0],[3,-i]] +A = [[i, 2],[ 3 , 4+i ]] -A, then A=
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