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Year 11 General Matrices And Matrix Arithmetic

Adding And Subtracting Matrices

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Question 1
177597

Two matrices can only be added together if they have the same order. Which of the following matrix sums is NOT defined?

A.
\(\begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} + \begin{bmatrix} 5 & 6 \\ 7 & 8 \end{bmatrix}\)
B.
\(\begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \end{bmatrix} + \begin{bmatrix} 7 & 8 \\ 9 & 10 \\ 11 & 12 \end{bmatrix}\)
C.
\(\begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix} + \begin{bmatrix} 4 \\ 5 \\ 6 \end{bmatrix}\)
D.
\(\begin{bmatrix} 1 & 2 & 3 \end{bmatrix} + \begin{bmatrix} 4 & 5 & 6 \end{bmatrix}\)
\(\begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \end{bmatrix} + \begin{bmatrix} 7 & 8 \\ 9 & 10 \\ 11 & 12 \end{bmatrix}\)

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