题目
题目

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

单项选择题

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

选项
A.a. 3x4
B.b. 4x3
C.c. 3x2
D.d. 2x3
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标准答案
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思路分析
To determine the size of X we use the rule for matrix multiplication: if A is of size m×n and X is of size p×q, then AX is defined only when n = p, and the result has size m×q. Option a: 3x4. Here X would be 3×4. Since A is......Login to view full explanation

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类似问题

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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