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MODERN PUBLICATION-DETERMINANTS-EXERCISE
- Let M and N be two 3xx3 non-singular skew-=symmetric matrices such t...
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- The number of values of k which the linear equations 4x+ky+2z=0 kx...
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- The number of values of k, for which the system of equations (k""+""...
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- If P=[[1,alpha,3],[1,3,3],[2,4,4]] is the adjoint of a 3xx3 matrix A a...
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- If {:|(x,x),(1,x)| = |(3,4),(1,2)|. Write the positive value of 'x'.
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- If A is a square matrix of order 3 and |3A| = k|A|, then write the val...
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- If A is a square matrix order 3 such that |adjA|=225, find |A'|.
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- Prove that: |[a+b+2c,a,b],[c,b+c+2a,b],[c,a,c+a+2b]|= 2(a+b+c)^3
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- Using the properties of determinant, show that :|[a^2+1,ab,ac],[ab,b^2...
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- Using Cofactors of elements of third column, evaluate triangle - |[1,x...
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- Find the value of k’ if the area of the triangle is 4 sq. units and ve...
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- Find the inverse of the matrix A = {:[(a,b),(c,(1+bc)/a)] and show tha...
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- Without expanding show that following : |[a,a+b,a+b+c],[2a,3a+2b,4a+3b...
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- If A = [[2,-3,5],[3,2,-4],[1,1,-2]] find A^-1. Using A^-1 solve the s...
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- Let P = [[3, -1, -2],[2 ,0 ,alpha ],[3, -5, 0]], where alpha in R. Sup...
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- Let M be a 2xx2 symmetric matrix with integer entries. Then , M is i...
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- Let M and n be two 3xx3 matrices such that MN = NM. Further, If Mne ...
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- For 3xx3 martrices M and N, which of the following statement (s) is ...
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- If the adjoint of a 3x3 matrix P is (1 4 4) (2 1 7) (1 1 3) , t...
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- If A is a matrix of order mxx m such that A^(2) +A + 2I = O, then
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