$$U = \left[ {\begin{array}{*{20}{c}}0&1&0\end{array}} \right]\;\quad V = \left[ {\begin{array}{*{20}{c}}1&1&0\3&1&9\2&3&8\end{array}} \right]\;\quad W = \left[ {\begin{array}{*{20}{c}}4&2\0&0\1&2\end{array}} \right]\;\;X = \left[ {\begin{array}{*{20}{c}}3&1&{-1}\1&0&1\end{array}} \right]\quad \ Y = \left[ {\begin{array}{*{20}{c}}0&1\{-1}&2\end{array}} \right]\quad \quad Z = \left[ {\begin{array}{*{20}{c}}1\0\1\end{array}} \right]\quad \quad \;\quad $$ order of matrix W is:

Question

BlackTom AI · Accepted Answer

To determine the order (dimensions) of a matrix, we count its rows and columns in the given representation.
Matrix W is displayed as a 3-by-2 arrangement: there are three horizontal lines of entries (three rows) and each line has two entries (two columns).
Specifically, the matrix W is written as:
[[4 & 2], [0 & 0], [1 & 2]]
This shows 3 rows and 2 columns, so the order is 3x2. 
Note that the actual numerical values inside W do not affect its dimensions; only the count of rows and columns matters here.
If we were to compare with possible alternative orders, such as 2x3 or 3x3, those would require a different grouping of entries per row, which is not the case for W as provided. 
Given the standard interpretation, the correct dimensionality is 3x2, which aligns with the form shown in the matrix.
Since the question provides an answer labeled as 'c. 3x2' and no other options are listed, the essential takeaway is understanding how to read the size from the stacked rows and columns in W.

MCD1550 / MCD2140 - T1 - 2025 TEST 2 (Week 6)

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