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0 votes
2 answers
8861
logic
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0 votes
2 answers
8864
A is a 4-square matrix and A 5 = 0. Then
A is a 4-square matrix and A_5 (a raised to the power of 5) = 0. Then A_4 = a) I b) -I c) 0 d) A
A is a 4-square matrix and A_5 (a raised to the power of 5) = 0. Then A_4 =a) Ib) -Ic) 0d) A
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1 votes
1 answer
8865
A be a n-square matrix with integer entries and B = A + 12 I. Then
A be a n-square matrix with integer entries and B = A + 12 I. Then (a) B is idempotent      (b) B inverse exist (c) B is nilpotent       (d) B inverse is idempotent
A be a n-square matrix with integer entries and B = A + 12 I. Then(a) B is idempotent      (b) B inverse exist(c) B is nilpotent       (d) B inverse is idempot...
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1 votes
2 answers
8866
A is an upper triangular with all diagonal entries zero, then I+A is
A is an upper triangular with all diagonal entries zero, then I+A is (a) invertible       (b) idempotent (c) singular        (d) nilpotent
A is an upper triangular with all diagonal entries zero, then I+A is(a) invertible       (b) idempotent(c) singular        (d) nilpotent
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1 votes
1 answer
8869
Series Convergence
I'm having hard time understanding how following series converges ; 1 + 2/5 + 3/5^2 + 4/5^3 + 5/5^4 + ............ infinity
I'm having hard time understanding how following series converges ; 1 + 2/5 + 3/5^2 + 4/5^3 + 5/5^4 + ............ infinity
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10 votes
3 answers
8870
ISRO2014-37
The probability that two friends are born in the same month is ____ ? $1/6$ $1/12$ $1/144$ $1/24$
The probability that two friends are born in the same month is ____ ?$1/6$$1/12$$1/144$$1/24$
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1 votes
2 answers
8871
Null Matrix
$X$ and $Y$ are non zero square matrices of order $n \times n$, such that $XY=O$ Then, which of the following options is correct? $|X| = 0$ and $|Y| \neq 0$ $|X| \neq 0$ and $|Y| = 0$ $|X| = 0$ and $|Y| = 0$ $|X| \neq 0$ and $|Y| \neq 0$
$X$ and $Y$ are non zero square matrices of order $n \times n$, such that $XY=O$Then, which of the following options is correct?$|X| = 0$ and $|Y| \neq 0$$|X| \neq 0$ and...
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2 votes
1 answer
8872
Diagonal Matrices
If diagonal matrix is commutative with every matrix of same order then it is necessarily 1)scalar matrix 2)unit matrix 3)symmetric matrix 4)zero matrix
If diagonal matrix is commutative with every matrix of same order then it is necessarily1)scalar matrix2)unit matrix3)symmetric matrix4)zero matrix
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0 votes
2 answers
8873
Matrices
If AB=BA then which of following are true? 1)(A+B)(A-B)=A^2-B^2 2)(AB)^n=A^n B^n 3)AB^n=B^n A 4)A=I or B=I
If AB=BA then which of following are true?1)(A+B)(A-B)=A^2-B^22)(AB)^n=A^n B^n3)AB^n=B^n A4)A=I or B=I
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3 votes
1 answer
8874
Express & form negation so that no negation is to the left of the quantifier & express this negation in simple English
Express and form negation, so that no negation is to the left of the quantifier and express this negation in simple English.$$\unicode{x201C} {\small \text{Every student ...
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1 votes
3 answers
8875
Calculate the limit
$\lim_{x \to 0} \frac{\cos(x)-\log(1+x)-1+x}{\sin^2x} = ? $ Please explain the steps also
$$\lim_{x \to 0} \frac{\cos(x)-\log(1+x)-1+x}{\sin^2x} = ? $$Please explain the steps also
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2 votes
2 answers
8876
Determine the cardinality of the following set
Determine the cardinality of the following set: $\{x \mid x\text{ is an integer and } 1/8 < x < 17/2\}$
Determine the cardinality of the following set:$$\{x \mid x\text{ is an integer and } 1/8 < x < 17/2\}$$
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0 votes
1 answer
8878
Explain what is wrong with the statement that in the Monty Hall Three-Door Puzzle the probability that the prize is behind the first door you select and the probability that the prize is behind the other of the two doors that Monty does not open are both 1/2, because there are two doors left.
the number of bit strings of length 8 that will either start with 1 or end with 00 is?a) 32              b) 128              c) 160       ...
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