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Recent activity by severustux
5
answers
1
TIFR CSE 2019 | Part A | Question: 15
Consider the matrix $A = \begin{bmatrix} \frac{1}{2} &\frac{1}{2} & 0\\ 0& \frac{3}{4} & \frac{1}{4}\\ 0& \frac{1}{4} & \frac{3}{4} \end{bmatrix}$ What is $\displaystyle \lim_{n→\infty}$A^n$ ? $\begin{bmatrix} \ 0 ... $\text{The limit exists, but it is none of the above}$
Consider the matrix$$A = \begin{bmatrix} \frac{1}{2} &\frac{1}{2} & 0\\ 0& \frac{3}{4} & \frac{1}{4}\\ 0& \frac{1}{4} & \frac{3}{4} \end{bmatrix}$$What is $\displaystyle ...
2.8k
views
commented
Dec 5, 2019
Calculus
tifr2019
engineering-mathematics
calculus
limits
matrix
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–
2
answers
2
CMI2010-A-07
For integer values of $n$, the expression $\frac{n(5n + 1)(10n + 1)}{6}$ Is always divisible by $5$. Is always divisible by $3$. Is always an integer. None of the above
For integer values of $n$, the expression $\frac{n(5n + 1)(10n + 1)}{6}$Is always divisible by $5$.Is always divisible by $3$.Is always an integer.None of the above
893
views
commented
May 8, 2018
Quantitative Aptitude
cmi2010
quantitative-aptitude
numerical-computation
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–
1
answer
3
Made easy books GATE - 2015( IN ) 1 mark
Let $A$ be a $n\times n$ matrix with rank $ r ( 0 < r < n ) .$Then $AX = 0$ has $p$ independent solutions,where $p$ is $A)$ $r$ $B)$ $n$ $C)$ $n - r $ $D)$ $n + r$
Let $A$ be a $n\times n$ matrix with rank $ r ( 0 < r < n ) .$Then $AX = 0$ has $p$ independent solutions,where $p$ is$A)$ $r$ $B)$ $n$ $C)$ $n - r...
2.3k
views
answer edited
Jan 26, 2018
Linear Algebra
engineering-mathematics
linear-algebra
rank-of-matrix
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