[math: U=[010]V=[110319238]W=[420012]X=[31−1101]Y=[01−12]Z=[101]]U = \left[ {\begin{array}{*{20}{c}}0&1&0\end{array}} ight]\;\quad V = \left[ {\begin{array}{*{20}{c}}1&1&0\3&1&9\2&3&8\end{array}} ight]\;\quad W = \left[ {\begin{array}{*{20}{c}}4&2\0&0\1&2\end{array}} ight]\;\;X = \left[ {\begin{array}{*{20}{c}}3&1&{-1}\1&0&1\end{array}} ight]\quad \ Y = \left[ {\begin{array}{*{20}{c}}0&1\{-1}&2\end{array}} ight]\quad \quad Z = \left[ {\begin{array}{*{20}{c}}1\0\1\end{array}} ight]\quad \quad \;\quad order of matrix W is:

Question

[math: U=[010]V=[110319238]W=[420012]X=[31−1101]Y=[01−12]Z=[101]]U = \left[ {\begin{array}{*{20}{c}}0&1&0\end{array}} ight]\;\quad V = \left[ {\begin{array}{*{20}{c}}1&1&0\3&1&9\2&3&8\end{array}} ight]\;\quad W = \left[ {\begin{array}{*{20}{c}}4&2\0&0\1&2\end{array}} ight]\;\;X = \left[ {\begin{array}{*{20}{c}}3&1&{-1}\1&0&1\end{array}} ight]\quad \ Y = \left[ {\begin{array}{*{20}{c}}0&1\{-1}&2\end{array}} ight]\quad \quad Z = \left[ {\begin{array}{*{20}{c}}1\0\1\end{array}} ight]\quad \quad \;\quad order of matrix W is:

BlackTom AI · Accepted Answer

When assessing the size of a matrix, count its rows and columns from the given rectangular array representation.
Option a (2x2): This would mean 2 rows and 2 columns. The provided W has 3 rows, so 2x2 is incorrect.
Option b (2x3): This would indicate 2 rows and 3 columns. Again, W has 3 rows, not 2, making this option invalid.
Option c (3x2): This matches the actual layout of W, which shows 3 rows (the three horizontal lines of numbers) and 2 columns (the two numbers in each row). Therefore, 3x2 is correct.
Option d (3x3): This would require 3 rows and 3 columns. Since each row in W contains only 2 entries, a 3x3 shape cannot be correct.
Option e (6): This is not a valid matrix dimension, as matrix sizes are expressed as pairs (rows x columns), not a single number. Consequently, 6 is not a valid description of the order.
Thus, the only accurate description of W’s order is 3x2.

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