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Question $6$

Create and store a three$-$dimensional array array$\_x$ with $5$ layers of $3-$by$-4$ matrix, filled with an increasing sequence of values between $5$ and $15$ of the appropriate length.

Form another new $3-$by$-3$ matrix, where the first row of this new matrix is from the three elements in the $1$st row in the first layer of array$\_x,$ the second row of this new matrix is from the first three elements in the $2$ nd row in the second layer of array$\_x,$ and the third row of this new matrix is from the last three elements in the $3$rd row in the third layer of array$\_x.$

Which of the following statement$($s$)$ is$($are$)$ true about this new $3-$by$-3$ matrix? $($Level$-3)$

The sum of the last column of this matrix is $21\mathrm{.}537($rounded by $3$ decimal places$)$

The largest element in the matrix is about $10\mathrm{.}424($rounded by $3$ decimal places$)$

The sum of the diagonals is about $23\mathrm{.}644($rounded by $3$ decimal places$)$

The average value of all the elements in this new matrix is about $8\mathrm{.}375($rounded by $3$ decimal places$)$

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