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RESONANCE ENGLISH-MATRICES & DETERMINANT-PART-II:
- If the trivial solution is the only solution of the system of equation...
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- Statement -1 : Determinant of a skew-symmetric matrix of order 3 is ze...
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- Let A=((1,0,0),(2,1,0),(3,2,1)). If u(1) and u(2) are column matrices ...
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- Let P and Q be 3xx3 matrices P ne Q. If P^(3)=Q^(3) and P^(2)Q=Q^(2)P,...
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- The number of values of k for which the system of equations (k+1)x+8y=...
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- IF P=[(1,alpha,3),(1,3,3),(2,4,4)] is the adjoint of 3xx3 matrix A and...
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- if alpha, beta , ne 0 " and " f(n) =alpha^(n)+beta^(n) " and " |{:(...
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- If A is an 3xx3 non-singular matrix such that A A^'=A^' A and B""=""...
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- If A=[(1,2,2),(2,1,-2),(a,2,b)] is a matrix satisying the equation A A...
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- The set of all values of lambda for which the system of linear equ...
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- The system of linear equations x+lambday-z=0, lambdax-y-z=0, x+y-lam...
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- If A=[(5a,-b),(3,2)] and A adj A=A A^(T), then 5a+b is equal to
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- If S is the set of distinct values of 'b' for which the following ...
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- If A=|{:(,2,-3),(,-4,1):}| then adj (3A^(2)+12A) is equal to
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- If the system of linear equations. x+ky+3z=0 3x+ky-2z=0 2x+4y...
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- if |{:(x-4,,2x,,3x),(2x,,x-4,,2x),(2x,,2x,,x-4):}|=(A+Bx)(x-A)^(2), th...
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- The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2...
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- If A = [(costheta,-sintheta),(sintheta,costheta)], then the matrix A^(...
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- Let d in R, and A[{:(,-2,4+d,(sin theta-2)),(,1,(sin theta)+2,d),(,5,(...
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- Let A = ((0,2q,r),(p,q,-r),(p,-q,r)). If A A^(T) = I(3), then |p| is
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