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The total number of 3 xx 3 matrices A ...

The total number of `3 xx 3 ` matrices A having entries from the set `{0,1,2,3}` such that the sum of all the diagonal entries ` A ^(T)A` is 9, is equal to `"________"`

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-MATHEMATICS (SECTION B)
  1. The total number of 3 xx 3 matrices A having entries from the set {0...

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  2. Let F: (0,2) to R be defined as f (x) = log (2) (1 + tan ((pix)/(4)))....

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  3. Let ABCD be a square of side of unit length. Let a circleC (1) center...

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  4. Let the curve y=y(x) be the solution of the differential equation, (dy...

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  5. Let z and w be two complex number such that w = z vecz - 2z + 2, |(z +...

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  6. Let f : R to R be continuous function such that f (x) + f (x+1) = 2, ...

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  7. Consider an arithmetic series and a geometric series having four initi...

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  8. Let P = [{:( - 30, 20, 56), ( 90, 140, 112), ( 120, 60, 14):}] and A =...

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  9. If the normal to the curve y (x) = int (0) ^(2) (2 t ^(2) - 15 t + 10)...

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  10. If lim (x to 0) (ae ^(x) - b cos x + ce ^(-x))/(x sin x) = 2, then a ...

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  11. If [.] represents the greatest integer function, then the value of |in...

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  12. The maximum value of z in the following equation z = 6xy + y^(2) , whe...

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  13. The minimum distance between any two points P(1) and P(2) while consid...

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  14. If A = [{:(2,3),(0,-1):}], then the value of det (A^(4)) | det ( A^(10...

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  15. If the function f(x) = ( cos ( sin x ) - cos x )/( x^(4)) is continuo...

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  16. If f(x) = sin ( cos ^(-1) ( ( 1- 2 ^(2x))/( 1+ 2^(2x)))) and its fist...

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  17. If the eqution of the plane passing through the line of intersection o...

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  18. If ( 2021)^(3762) is divided by 17, then the remainder is "".

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  19. If vec(a) = alpha hat(i) + beta hat(j)+ 3 hat(k), vec(b) = - beta ha...

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  20. Of the three independent event E(1),E(2) and E(3), the probability tha...

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