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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
- If the determiant |{:(x+a,p+u,l+f),(y+b,q+v,m+g),(z+c,r+w,n+h):}| spli...
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- True or False : Let A be a square matrix of order nge2 and B be the ...
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- True or False : The determinant of an identity matrix is always 1.
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- True or False : If A is a square matrix of order 1xx1 then adj A = O
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- Determinant of the 1xx1 matrix [-3] is
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- Determinant of the matrix A = [1,3,-5] is
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- The value of det [(cos theta, sintheta),(-sintheta, costheta)] is equa...
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- If A and B are invertible matrices of the same order, then (AB)^-1 is ...
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- A square matrix A invertible iff det A is equal to
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- If A is any of square matrix of order n, then A (adj A) is equal to
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- Prove that |(1,x,x^2),(1,y,y^2),(1,z,z^2)| = (x-y)(y-z)(z-x)
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- If A is a square matrix of order n, then det |lambdaA| is equal to (la...
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- If A is square matrix such that A^2 = I, then A ^-1 is equal to
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- If A is a square matrix of order 2, then det (adj A) is equal to
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- If A is a square matrix of order 2, then adj (adj A)
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- If A,B,C are three square matrices of the same order such that A= B +C...
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- If A = diag (d1,d2,d3,….dn) then det A is equal to
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- The area of a triangle with vertices (-3,0),(3,0) and (0,k) is 9 sq. u...
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- The equations {:(x+y+2=0),(2x+2y=3):} have
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- For what value of lambda, the following system of equations {:(x+y+z =...
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