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A matrix denotes a number...

A matrix denotes a number

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Fill in the blanks: A matrix, in which number of rows is equal to number of columns, is called a ………….. Matrix.

Let S denotes the antilog of 0.5 to the base 256 and K denotes the number of digits in 6^(10) (given log_(10)2=0.301 , log_(10)3=0.477 ) and G denotes the number of positive integers, which have the characteristic 2, when the base of logarithm is 3. The value of SKG is

Let S denotes the antilog of 0.5 to the base 256 and K denotes the number of digits in 6^(10) (given log_(10)2=0.301 , log_(10)3=0.477 ) and G denotes the number of positive integers, which have the characteristic 2, when the base of logarithm is 3. The value of SKG is

Find the probability distribution of a random variable X which denotes the number of tails in two tosses of a coin.

A coin is tossed thrice. If event E denotes the ‘number of heads is odd’ and event F denotes the ‘number of tails is odd’, then find the cases favourable to the event E nn F .

Let L denotes the number of subjective functions f : A -> B , where set A contains 4 elementset B contains 3 elements. M denotes number of elements in the range of the function f(x) = sec^-1(sgmx) + cosec^-1(sgn x) where sg n x denotes signum function of x. And N denotes coefficient of t^5 in (1+t^2)^5(1+t^3)^8 . The value of (LM+N) is lambda , then the value of lambda/19 is

Two dice are thrown simultaneously. If X denotes the numbers of sixes obtained, find probability distribution of X and also is mean and variance.

Two dice are thrown simultaneously. If X denotes the number of sixes, find the expectation of X.

ACCURATE PUBLICATION-MATRICES-QUESTIONS CARRYING 1 MARK (Type-III : (True or false questions))
  1. For the non singular matrix A,(adjA)^(-1)=(adjA^(-1))

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  2. AB=ACimplies B=C for any three matrices of same order .

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  3. A matrix denotes a number

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  4. Matrices of any order can be added .

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  5. Two matrices are equal if they have same number of rows and same numbe...

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  6. Matrices of different order can not be subtracted .

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  7. Matrix addition is associative as well as commutative .

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  8. Matrix multiplication is commutative .

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  9. A square matrix where every element is unity is called an identity mat...

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  10. If A and B are two square matrices of the same order, then A+B=B+A .

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  11. If A and B are two matrices of the same order, then A-B=B-A .

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  12. If matrix AB=O, then A=O or B=O or both A and B are null matrices .

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  13. Transpose of a column matrix is a column matrix .

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  14. If A and B are two square matrices of the same order, then AB=BA .

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  15. If each of the three matrices of the same order are symmetric then the...

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  16. If A and B are two square matrices of the same order, then AB=BA .

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  17. If (AB)=B'A' , where A and B are not square matrices, then number of r...

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  18. If A, B and C are square matrices of same order, then AB=AC always imp...

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  19. A A' is always a symmetric matrix for any matrix A .

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  20. If A=[{:(2,3,-1),(1,4,2):}] and B=[{:(2,3),(4,5),(2,1):}] , then AB an...

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