Given the matrices A - - 2 1 1- 3 -1 0- 0 2 4 - B - 9 7 -1- 3 5 4- 2 1 6 - and C - - 2 -4 3- 1 -1 0- 9 4 5 -Verify that A - B - C - A - B - C-

(A + B ) + C = ([ 2 amp;1 amp;1; 3 amp; 1 amp;0; 0 amp;2 amp;4 ] + [ 9 amp;7 amp; 1; 3 amp;5 amp;4; 2 amp;1 amp;6 ] ...

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Addition and Subtraction of a Matrix

Given the mat...

Question

Given the matrices
$A = ⎡ ⎢ ⎣ \begin{matrix} 2 & 1 & 1 3 & - 1 & 0 0 & 2 & 4 \end{matrix} ⎤ ⎥ ⎦, B = ⎡ ⎢ ⎣ \begin{matrix} 9 & 7 & - 1 3 & 5 & 4 2 & 1 & 6 \end{matrix} ⎤ ⎥ ⎦$ and $C = ⎡ ⎢ ⎣ \begin{matrix} 2 & - 4 & 3 1 & - 1 & 0 9 & 4 & 5 \end{matrix} ⎤ ⎥ ⎦$
Verify that $(A + B) + C = A + (B + C)$ .

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[\begin{matrix} 2 & 1 & 1 \\ 3 & - 1 & 0 \\ 0 & 2 & 4 \end{matrix}]

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[\begin{matrix} 2 & - 4 & 3 \\ 1 & - 1 & 0 \\ 9 & 4 & 5 \end{matrix}]

= {1, 2, 3, 4}

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A = [\begin{matrix} 1 & 2 & 0 \\ - 1 & 0 & 1 \end{matrix}], B = [\begin{matrix} 1 & 0 \\ - 1 & 2 \\ 0 & 3 \end{matrix}] and C = [\begin{matrix} 1 \\ - 1 \end{matrix}]

A = [\begin{matrix} 4 & 2 & 3 \\ 1 & 1 & 2 \\ 3 & 0 & 1 \end{matrix}], B = [\begin{matrix} 1 & - 1 & 1 \\ 0 & 1 & 2 \\ 2 & - 1 & 1 \end{matrix}] and C = [\begin{matrix} 1 & 2 & - 1 \\ 3 & 0 & 1 \\ 0 & 0 & 1 \end{matrix}]

a \div (b + c) \neq (a \div b) + (a \div c)

A = {5, 7, 9, 11, 13, 15)

B = {7, 8, 11, 15, 20}

C = {5, 8, 9, 11, 13, 15, 17, 20}

A \cap (B \cap C) = (A \cap B) \cap C

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