The matrix that represents the matrix D is [tex]\left[\begin{array}{cccc}3&1&9&8 \\2&2&0&5\\16&1&-3&11\end{array}\right][/tex].
How to determine the matrix d?
It is Given the elements of the matrix C.
The matrix c is represented by its rows and columns element, and the arrangements are follows as;
C11 = 3    C12 = 1   C13=-9   C14 = 8
C21 = 2   C22=2   C23 =0   C24 = 5
C31 = 16   C32 = 1  C33=-3   C34=11
Now, Remove the matrix name and position
3  1  9  8
2 2  0  5
16  1  -3  11
Represent properly as a matrix:
C = [tex]\left[\begin{array}{cccc}3&1&9&8 \\2&2&0&5\\16&1&-3&11\end{array}\right][/tex]
Matrix C equals matrix D then all the elements of D will be same as C
So, we have:
D = [tex]\left[\begin{array}{cccc}3&1&9&8 \\2&2&0&5\\16&1&-3&11\end{array}\right][/tex]
Therefore, the matrix that represents matrix D is [tex]\left[\begin{array}{cccc}3&1&9&8 \\2&2&0&5\\16&1&-3&11\end{array}\right][/tex].
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