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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
- If A= [[1, x],[x^2,4 y]], B= [[-3,1],[1,0]] and adj A+B=[[1,0],[0,1]],...
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- Let A= [[1,2],[-5,1]] and A^-1=x A+y I, then the values of x and y are
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- If A=[[alpha,0],[1,1]] and B=[[1,0],[5,1]] then the value of alpha for...
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- If A= [(alpha,2),(2,alpha)] and |A^(3)|= 125 " then " alpha =
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- If A = [(1,0,0),(0,1,1),(0,-2,4)] and also A^(-1)=1/6 (A^(2)+cA+dI) ...
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- Let A and B be 3xx 3 matrices of real numbers, where A is symmetric an...
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- If A = [(1,0),(1,1)] and I = [(1,0),(0,1)] , then which one of the f...
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- If A B=A and B A=B, then B^2=
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- The number of 3xx3 non - singular matrices , with four entries as 1 ...
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- If x, y, z being positive |[1, log x y,log x z],[log y x,1,log y z],[l...
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- If Dr= |[2^r-1,2 . 3^(r-1), 4 . 5^(r-1)],[alpha ,beta, gamma],[2^(n-1)...
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- If a, b, c are in G.P then the value of the determinant Delta= [[a, b,...
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- The determinant: |(xp+y,x,y),(yp+z,y,z),(0,xp+y,yp+z)|=0 if :
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- The parameter on which the value of the determinant |[1, a, a^2],[...
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- Let omega=-(1)/(2)+i (sqrt(3))/(2), then the value of [[1,1,1],[1,-...
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- l,m,n are the pth , qth rth terms of a G.P. (all positive) , then |(lo...
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- If a gt 0 and discriminant of ax^2+2bx+c is negative, then : Delta=|(...
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- If 1, omega, omega^(2) are the cube roots of unity, then [[1, omega^...
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- The determinant : |(cos(alpha+beta),-sin(alpha+beta),cos2beta),(sinalp...
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- If a(1), a(2), a(3)"….." are in G.P. , then the value of Delta= |{:(lo...
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