If A- - 1 -3 2- 2 0 2 - and B- 2 -1 -1- 1 0 -1 - then the matrix C such that A-B-C is a zero matrix- is

A+B+C=O ⇒ C= A B ⇒ C= [ 1 amp; 3 nbsp; amp;2; nbsp; 2 amp;0 nbsp; amp;2 nbsp; ] [ 2 amp; 1 nbsp; amp; 1; nbsp; 1 amp;0 nbsp; a ...

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Diagonal Matrix

If A= [ 1 -3 ...

Question

If $A = [\begin{matrix} 1 & - 3 & 2 2 & 0 & 2 \end{matrix}]$ and $B = [\begin{matrix} 2 & - 1 & - 1 1 & 0 & - 1 \end{matrix}]$ , then the matrix $C$ such that $A + B + C$ is a zero matrix, is

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

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

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

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

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Solution

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Similar questions

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

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

A = ⎡ ⎢ ⎣ \begin{matrix} 2 & 2 - 3 & 1 4 & 0 \end{matrix} ⎤ ⎥ ⎦, B = ⎡ ⎢ ⎣ \begin{matrix} 6 & 2 1 & 3 0 & 4 \end{matrix} ⎤ ⎥ ⎦

C

A + B + C = O

O

a \neq b \neq c

∣ ∣ ∣ ∣ ∣ \begin{matrix} a^{3} - 1 & b^{3} - 1 & c^{3} - 1 a & b & c a^{2} & b^{2} & c^{2} \end{matrix} ∣ ∣ ∣ ∣ ∣ = 0

∣ ∣ ∣ ∣ ∣ \begin{matrix} a & a^{2} & 1 + a^{3} b & b^{2} & 1 + b^{3} c & c^{2} & 1 + c^{3} \end{matrix} ∣ ∣ ∣ ∣ ∣ = 0

∣ ∣ ∣ ∣ ∣ \begin{matrix} a & a^{2} & 1 b & b^{2} & 1 c & c^{2} & 1 \end{matrix} ∣ ∣ ∣ ∣ ∣ \neq 0

a b c = - 1

a, b

c

Δ = ∣ ∣ ∣ ∣ \begin{matrix} 1 + a 11 \end{matrix} \begin{matrix} 1 1 + b 1 \end{matrix} \begin{matrix} 11 1 + c \end{matrix} ∣ ∣ ∣ ∣ = 0

\frac{1}{a} + \frac{1}{b} + \frac{1}{c}

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