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If A=1/3{:[(1,2,2),(2,1,-2),(a,2,b)]:} i...

If `A=1/3{:[(1,2,2),(2,1,-2),(a,2,b)]:}` is an orthogonal matrix, then

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STATEMENT -1 : a=(1)/(3){:[(1,-2,2),(-2,1,2),(-2,-2,-1)]:} is an orthogonal matrix and STATEMENT-2 : If A and B are otthogonal, then AB is also orthogonal.

Show the A=(1)/(3)[(-1,2,-2),(-2,1,2),(2,2,1)] is proper orthogonal matrix.

If A=(1)/(3)[[1,2,22,1,-2a,2,b]] is an orthogonal ,b=-1 d.b=1

If A=[(1,2,2),(2,1,-2),(a,2,b)] is a matrix satisfying the equation A A^T=9I , where I is 3xx3 identity matrix, then the ordered pair (a,b) is equal to : (A) (2,-1) (B) (-2,1) (C) (2, 1) (D) (-2,-1)

{:A=[(1,2,2),(2,1,-2),(a,2,b)]:} is a matrix and AAT=91, then the ordered pair (a,b) is equal to

if A=[(1,2,3),(2,1,-1),(a,2,b)] is a matrix satisfying A A'=9I_(3,) find the value of |a|+|b|.

If A=[(1,-2,1),(2,lambda,-2),(1,3,-3)] be the adjoint matrix of matrix B such that |B|=9 , then the value of lambda is equal to

Matrix A=[(0,2b,-2),(3,1,3),(3a,3,-1)] is given to be symmetric, find the values of a and b

If A=[(1,4),(3,2),(2,5)], B=[(-1,-2),(0,5),(3,1)] , find the matrix D such that A+B-D=0 .

RESONANCE DPP-JEE MAINS-All Questions
  1. If f(x)=x^3+2x^2+3x+4 and g(x) is the inverse of f(x) then g^(prime)(4...

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  2. The probability that at least one of the events Aa n dB occurs is 0.6...

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  3. If A=1/3{:[(1,2,2),(2,1,-2),(a,2,b)]:} is an orthogonal matrix, then

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  4. If a circle of constant radius 3k passes through the origin O and me...

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  5. The coefficient of x^3 in the expansion of 3/((1+3x)^3)i s

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  6. If the equation ax^2+2bx+c=0 and ax62+2cx+b=0 b!=c have a common root ...

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  7. Normal drawn at P(t), having negative ordinate, to parabola y^2=16 x m...

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  8. A chess game between two grandmasters X and Y is won by whoever first ...

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  9. The graph of the function y=16x^2+8(a+5)x-7a-5 is strictly above the x...

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  10. Find the values of a and b such that the function defined by f(x)=...

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  11. In a geometric progression with common ratio q, the sum of the firs...

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  12. In a set of real numbers a relation R is defined as xRy such that |x|+...

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  13. "If" I=int0^x(t^2dt)/((x-sinx)sqrt(a+t))a n d(lim)(xvec0)I=1, then ...

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  14. The value of int5^(10)(sqrt(x+sqrt(20 x-100))+sqrt(x-sqrt(20 x-100)))...

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  15. The value of int(-2)^1([x]+|x-3|)dx is (where [.] denotes greatest int...

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  16. If z1,z2,z3,z4 be the vertices of a quadrilaterla taken in order such ...

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  17. 2sin^(2)theta + 3 costheta =0

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  18. int(dx)/((1+x)sqrt(1+x-x^2)) dx

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  19. Let f(x) be a non-constant twice differentiable function defined on (-...

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  20. Consider quadratic equations x^2-ax+b=0 and x^2+px+q=0 If the above eq...

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