A - - 1 2 -3- 5 0 2- 1 -1 1 - and B - - 3 -1 2- 4 2 5- 2 0 3 -Find the matrix C satisfying the relation A - 2C - B

C = 12 (B A) = [ 1 amp; 2 amp; 5/2; 1/2 amp; 1 amp; 3/2; 1/2 amp; 1/2 amp; 1 ] ...

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Addition and Subtraction of a Matrix

A = [ 1 2 -...

Question

A = $⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & - 3 5 & 0 & 2 1 & - 1 & 1 \end{matrix} ⎤ ⎥ ⎦$ and B = $⎡ ⎢ ⎣ \begin{matrix} 3 & - 1 & 2 4 & 2 & 5 2 & 0 & 3 \end{matrix} ⎤ ⎥ ⎦$
Find the matrix C satisfying the relation A + 2C = B

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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

A + 2 C = B

C = ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ \begin{matrix} 1 & \frac{- 3}{2} & a \frac{- 1}{2} & 1 & b \frac{1}{2} & \frac{1}{2} & 1 \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦

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} 4 & 1 & 2 1 & - 2 & 3 0 & 3 & 2 \end{matrix}), B = (\begin{matrix} 2 & 0 & 4 6 & 2 & 8 2 & 4 & 6 \end{matrix})

C = (\begin{matrix} 1 & 2 & - 3 5 & 0 & 2 1 & - 1 & 1 \end{matrix})

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

⎡ ⎢ ⎣ \begin{matrix} a - b - c & 2 a & 2 a 2 b & b - c - a & 2 b 2 c & 2 c & c - a - b \end{matrix} ⎤ ⎥ ⎦

a, b and c

[\begin{matrix} a & b & c \end{matrix}] ⎡ ⎢ ⎣ \begin{matrix} 1 & 9 & 7 8 & 2 & 7 7 & 3 & 7 \end{matrix} ⎤ ⎥ ⎦ = [\begin{matrix} 0 & 0 & 0 \end{matrix}]

ω

x^{3}

ω

\frac{3}{ω^{a}} + \frac{1}{ω^{b}} + \frac{3}{ω^{c}}

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