A-beginbmatrix 2118-1 - 11 -lendbmatrix - 1- 215 2808-3 - 1 - 2112118-2 - 3 1 compute A - B and B - C - Also verify that A - B - C - A - B - C-

A+B =[ 1 amp; 2 amp; 3; 5 amp; 0 amp; 2; 1 amp; 1 amp; 1; ]+[ 3 amp; 1 amp; 2; 4 amp; 2 amp; 5; 2 amp; 0 ...

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Addition and Subtraction of a Matrix

A=〈beginbmatr...

Question

$A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & - 3 5 & 0 & 2 1 & - 1 & 1 \end{matrix} ⎤ ⎥ ⎦, B = ⎡ ⎢ ⎣ \begin{matrix} 3 & - 1 & 2 4 & 2 & 5 2 & 0 & 3 \end{matrix} ⎤ ⎥ ⎦, C = ⎡ ⎢ ⎣ \begin{matrix} 4 & 1 & 2 0 & 3 & 2 1 & - 2 & 3 \end{matrix} ⎤ ⎥ ⎦$ compute (A+B) and (B-C). Also verify that A+(B-C)=(A+B)-C.

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A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & - 3 5 & 0 & 2 1 & - 1 & 1 \end{matrix} ⎤ ⎥ ⎦, B = ⎡ ⎢ ⎣ \begin{matrix} 3 & - 1 & 2 4 & 2 & 5 2 & 0 & 3 \end{matrix} ⎤ ⎥ ⎦, C = ⎡ ⎢ ⎣ \begin{matrix} 4 & 1 & 2 0 & 3 & 2 1 & - 2 & 3 \end{matrix} ⎤ ⎥ ⎦

(A + B)

(B - C)

A + (B - C) = (A + B) - C

A = ⎡ ⎢ ⎣ \begin{matrix} 151 \end{matrix} \begin{matrix} 20 - 1 \end{matrix} \begin{matrix} - 3 21 \end{matrix} ⎤ ⎥ ⎦, B = ⎡ ⎢ ⎣ \begin{matrix} 342 \end{matrix} \begin{matrix} - 1 20 \end{matrix} \begin{matrix} 253 \end{matrix} ⎤ ⎥ ⎦

C = ⎡ ⎢ ⎣ \begin{matrix} 401 \end{matrix} \begin{matrix} 13 - 2 \end{matrix} \begin{matrix} 223 \end{matrix} ⎤ ⎥ ⎦

(A + B)

(B - C)

A + (B - C) = (A + B) - C

A = [\begin{matrix} 1 & 0 & - 2 \\ 3 & - 1 & 0 \\ - 2 & 1 & 1 \end{matrix}], B = [\begin{matrix} 0 & 5 & - 4 \\ - 2 & 1 & 3 \\ - 1 & 0 & 2 \end{matrix}] and C = [\begin{matrix} 1 & 5 & 2 \\ - 1 & 1 & 0 \\ 0 & - 1 & 1 \end{matrix}]

A = [\begin{matrix} 1 & 2 2 & 1 \end{matrix}] . B = [\begin{matrix} 2 & 0 1 & 3 \end{matrix}]

C = [\begin{matrix} 1 & 1 2 & 3 \end{matrix}]

A C, B C

(A + B) C

(A + B) C = A C + B C .

|\begin{matrix} 1 & a^{2} + b c & a^{3} \\ 1 & b^{2} + c a & b^{3} \\ 1 & c^{2} + a b & c^{3} \end{matrix}| = - (a - b) (b - c) (c - a) (a^{2} + b^{2} + c^{2})

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