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Write A^-1 for A=[(2,5),(1,3)]...

Write `A^-1` for `A=[(2,5),(1,3)]`

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If A=[(1,2),(3,-5)] then A^-1 is A. [(-5,-2),(-3,1)] B. [(5/11,2/11),(3/11, - 1/11)] C. [(-5/11,-2/11),(-3/11, -1/11)] D. [(5,2),(3,-1)]

If A=[(2, 3),( 5,-2)], write A^(-1)

The adjoint of the matrix [(2,5),(3,1)] is (A) [(2,5),(3,1)] (B) [(1,-5),(-3,2)] (C) [(1,-3),(-5,2)] (D) [(-1,3),(5,-2)]

Given A=[(4,2,5),(2,0,3),(-1,1,0)] write the value of det. ("2AA"^(-1)) .

The inverse of [(3,5,7),(2,-3,1),(1,1,2)] is :

If A=[(2 ,3,-5 ),(1, 2,-1)] and B=[(0, 5,1),(-2, 7, 3)] , find A+B and A-B

If |A| = 3 and A^-1 = [(3 -1), (-5/3 2/3)] then write the adj A.

Write the value of (1/2)^3+(1/3)^3-\ (5/6)^3

If A=[(2 ,-3, -5), (-1, 4, 5),( 1, -3 ,-4)] and B=[(-1, 3, 5), (1,-3, -5) , (-1, 3, 5)] , show that A B=B A=O_3xx3 .

Let f: {1, 3, 4}-> {1, 2, 5} and g: {1, 2, 5} ->{1, 3} be given by f = {(1, 2), (3, 5), (4, 1)} and g = {(1, 3), (2, 3), (5, 1)} . Write down gof .

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Write the value of int(dx)/(x^2+16)

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  2. For what value of x, the matrix [(5-x,x+1),(2,4)] is singular?

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  3. Write A^-1 for A=[(2,5),(1,3)]

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  4. For what value of a the vectors 2 hat i-\ 3 hat j+4 hat k and a h...

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  5. Write the direction cosines of the vector -2 hat i+ hat j-5 hat k

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  6. The length x of a rectangle is decreasing at the rate of 5 cm/minute...

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  7. Find the intervals in which the function f given f(x)=\ sin x+cosx ,\...

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  8. Write the principal value of tan^(-1)(1)+cos^(-1)(-1/2)

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  9. Suppose a girl throws a dice. If she gets 5 or 6 she tosses a coin thr...

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  10. A dietician wishes to mix two types of foods in such a way that the...

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  11. Let vec(a)=hat(i)+4 hat(j)+2hat(k), vec(b)=3 hat(i)-2 hat(j)+7 hat(k) ...

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  12. Find the coordinates of the point where the line through the points...

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  13. Two cards are drawn simultaneously (without replacement) from a wel...

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  14. Using matrices, solve the following system of equations: 2x+3y+3z=5;...

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  15. Find the area of the region {(x , y)\ : x^2+y^2lt=4,\ x+y\ geq2}

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  16. If the lines (x-1)/(-3)=(y-2)/(-2k)=(z-3)/2 and (x-1)/k=(y-2)/1=(z-3)...

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  17. Sand is pouring from a pipe at the rate of12\ c m^3//s . The falling s...

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  18. Write the value of tan(2tan^-1(1/5)) .

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  19. Find (dy)/(dx)\ if (x^2+y^2)^2=x y

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  20. If y=3cos(logx)+4sin(logx),\ then show that x^2(d^2\ y)/(dx^2)+x(dy...

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