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The value of |{:("cos"theta, -"sin"theta...

The value of `|{:("cos"theta, -"sin"theta), ("sin" theta, "cos"theta):}|` =___.

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if 5cot theta=4, then the value of ((5sin theta-3cos theta)/(sin theta+2cos theta))

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PEARSON IIT JEE FOUNDATION-MATRICES-EXERCISE (VERY SHORT ANSWER TYPE QUESTIONS)
  1. Is A =[{:(4, 6), (2, 3):}] singular?

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  2. If A is any square matrix, then (1)/(2) (A-A^(T)) is a matrix.

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  3. If the determinant of a square matrix is non-zero, then the matrix is ...

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  4. (AB)^(-1) =.

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  5. The inverse of matrix A, if A^(2) = 1, is .

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  6. The additive inverse of [{:(-1, 3, 4), (5, -7, 8):}] is .

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  7. If A xx [{:(1, 2, 3),(4, 5, 6):}] = [{:(1, 2, 3), (3, 2, 1), (3, 1, 2)...

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  8. If the order of matrices A, B and C are 3 xx 4, 7 xx 3 " and " 4 xx 7 ...

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  9. Express the equations 2x-y + 6 =0 and 6x + y + 8 = 0, in the matrix eq...

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  10. If A=[{:(a, b), (c, d):}] " then " A^(-1) = .

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  11. If [{:(2, -4), (9, d-3):}]=4, then d=.

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  12. If AB = KI, where K in R, then A^-1=

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  13. If p =({:(1, 0), (0, 1):}), " then " P^(-1) =.

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  14. The value of |{:("cos"theta, -"sin"theta), ("sin" theta, "cos"theta):}...

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  15. If K is real number, then (KA)^(-1) =.

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  16. The matrix A = [{:(a, d), (c, a):}] is singular then a =.

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  17. If A and B commute, then (A + B)^(2) =.

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  18. If |A| = 5, |B(1)| = 5 " and " |B(2)| = 25, then find the values of x ...

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  19. If A = [s 2] " and "B = [(x), (y)] then AB = .

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  20. The matrix obtained by multiplying each of the given matrix A with -1 ...

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