Create a $5$x$5$ matrix that contains $25$ discrete random numbers between $10$ and $80,$ without replacement. Access the data values instructed below:

matrix$1=$ matrix$(10$:$80,$ nrow $=5,$ byrow $=$ FALSE$)$

$-$ row $2,$ column $4$

$-$ row $4,$ columns $2$ to $4$

$-$ column $4,$ rows $1$ to $5$

$-$ row $3$

$-$ column $3$

$-$ intersection between rows $1$ and $3$ with columns $4$ and $5$

Create a vector containing the $10$th$,$ the $12$th$,$ and the $14$th element of the matrix.

x $=$ sample$(10$:$80,25,$replace$=$FALSE$)$

matrix$1=$ matrix$($x$,$nrow$=5,$byrow$=$FALSE$)$

vector$=$c$($matrix$1[5,2],$ matrix$1[2,3],$ matrix$1[4,3])$