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NCERT-DETERMINANTS-SOLVED EXAMPLES
- Prove that |[a, a+b, a+b+c],[2a,3a+2b,4a+3b+2c],[3a,6a+3b, 10 a+6b+3c]...
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- Show that|[1+a,1,1],[1,1+b,1],[1,1,1+c]|=abc(1+1/a+1/b+1/c)=abc+bc+ca+...
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- Find the area of the triangle whose vertices are (3, 8),(-4, 2)and (5,...
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- Prove that |b+c a a b c+a b cc a+b|=4a b c
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- If x, y, z are different and Delta=|[x,x^2, 1+x^3],[y, y^2,1+y^3],[z, ...
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- Find the equation of the line joining A( 1,3) and B (0,0) using deter...
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- Find the minor of element 6 in the determinant Delta=|[1, 2, 3],[ 4, 5...
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- The sum of three numbers is 6. If we multiply third number by 3 and a...
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- Solve the following system of equations by matrix method. 3x-2y + 3z=...
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- Solve the system of equations 2x + 5y = 1 and 3x + 2y = 7.
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- Show that the matrix A=[[2,3],[ 1,2]]satisfies the equation A^2-4A+I=...
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- If A=[(2,3),(1,-4)]and B=[(1,-2),(-1, 3)], then verify that (A B)^(-1)...
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- If A=[[1 ,3 ,3],[ 1, 4 ,3],[ 1, 3, 4]],then verify thatA a d j A = |A|...
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- Find adj for A=[[1 ,2],[ 3 ,4]]
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- Find minors and cofactors of the elements of the determinant|[2,-3, 5...
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- Find minors and cofactors of the elements a(11), a(21) in the determi...
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- Find minors and cofactors of all the elements of the determinant |[1,...
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- If a, b, c are positive and unequal, show that value of the determina...
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- If a,b,c are in A.P, find value of |[2y+4,5y+7,8y+a],[3y+5,6y+8,9y+b],...
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- Show that Delta=|((y+z)^2,xy,zx),(xy,(x+z)^2,yz),(xz,yz,(x+y)^2)|=2xyz...
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