[15" mathe "[[lambda,-1,4],[-3,0,1],[-1,1,2]]" is snurertible,"dot y],[," a) "lambda!=-(9~ b)quad x!=-17]

[" 2.Let matrix "A=[[1,y,4],[2,2,z]]" ; if "xyz=2 lambda" and "8x+4y+3z=lambda+28," then "(adj A)" A equals: "],[[" (A) "[[lambda+1,0,0],[0,lambda+1,0],[0,0,lambda+1]]," (B) "[[lambda,0,0],[0,lambda,0],[0,0,lambda]]],[" (C) "[[lambda^(2),0,0],[0,lambda^(2),0],[0,0,lambda^(2)]]," (D) "[[lambda+2,0,0],[0,lambda+2,0],[0,0,lambda+2]]]]

The equations lambda x -y = 2 ,2 x -3 y = - lambda and 3x - 2y = - 1 are consistent for a) lambda=-4 b) lambda=1,4 c) lambda=1,-4 d) lambda=-1,4

If A satisfies the equation x^3-5x^2+4x+lambda=0 , then A^(-1) exists if (a) lambda!=1 (b) lambda!=2 (c) lambda!=-1 (d) lambda!=0

If A satisfies the equation x^3-5x^2+4x+lambda=0 , then A^(-1) exists if (a) lambda!=1 (b) lambda!=2 (c) lambda!=-1 (d) lambda!=0

The values of lambda for which the function f(x)=lambda x^(3)-2 lambda x^(2)+(lambda+1)x+3 lambda is increasing through out number line (a) lambda in(-3,3)( b) lambda in(-3,0)( c )lambda in(0,3) (d) lambda in(1,3)

If the points A(-1, 3, lambda), B(-2, 0, 1) and C(-4, mu, -3) are collinear, then the values of lambda and mu are

If A satisfies the equation x^3-5x^2+4x+lambda=0 , then A^(-1) exists if lambda!=1 (b) lambda!=2 (c) lambda!=-1 (d) lambda!=0

The value of the lambda , if the lines (2x + 3y + 4) + lambda( 6 x - y + 14) =0 are {:("Column- I","Column - II"),("(i) Parallel to Y -axis is","(a)" lambda = (-3)/(4) ),("(ii) Perpendicular to" 7x + y -4 =0 "is" , "(b)" lambda = (-1)/( 3) ),("(iii) Passes through (1, 2) is","(c)" lambda = (-17)/( 41) ),("(iv) parallel to X -axis is","(d)" lambda = 3):}

If the points A(2, -1, 0), B(-3, lambda, 4), C(-1, -1, 4), D(0, -5, 2) are coplanar, then lambda=

If a lambda^(4)+b lambda^(3)+c lambda^(2)+d lambda+e = |[lambda^(2)-3,-1,lambda+sqrt(3)],[lambda^(2)+lambda,2 lambda-4,3 lambda+1],[lambda^(2)-3 lambda,3 lambda+5,lambda-3]| then |a| equals