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MCD1550 / MCD2140 - T3 - 2024 Test 3

Single choice

The order of the matrix [math: M=[2−300]] M = \left[\begin{array}{cccc} 2&-3&0&0 \end{array}\right] is

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The matrix M is written as a single row with four entries: [2, -3, 0, 0]. This means it has 1 row and 4 columns, so its......Login to view full explanation

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Given the matrices $$ A= \left[\begin{array}{ccc} -1&0&3 \\ -2&4&6 \end{array}\right] $$ and $$ B= \left[\begin{array}{cccc} -1&3&5&0 \\ 1&4&2&1 \end{array}\right] $$ if \( AX = B \) the order of matrix \(X\) is

[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}} \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:

Given the matrices [math: A=[25−34−10]] A= \left[\begin{array}{cc} 2&5 \\ -3&4 \\ -1&0 \end{array}\right] and [math: B=[4−20−113]] B= \left[\begin{array}{cc} 4&-2 \\ 0&-1 \\ 1&3 \end{array}\right] , if [math: AX=B] the order of matrix X is

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

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