Compute the following: [a2+b2b2+c2a2+c2a2+b2]+[2ab2bc-2ac-2ab] - Mathematics

Question

Compute the following:

$[\begin{matrix} a^{2} + b^{2} & b^{2} + c^{2} \\ a^{2} + c^{2} & a^{2} + b^{2} \end{matrix}] + [\begin{matrix} 2 a b & 2 b c \\ - 2 a c & - 2 a b \end{matrix}]$

Sum

Solution

$[\begin{matrix} a^{2} + b^{2} & b^{2} + c^{2} \\ a^{2} + c^{2} & a^{2} + b^{2} \end{matrix}] + [\begin{matrix} 2 a b & 2 b c \\ - 2 a c & - 2 a b \end{matrix}]$

$= [\begin{matrix} a^{2} + b^{2} + 2 a b & b^{2} + c^{2} + 2 b c \\ a^{2} + c^{2} - 2 a c & a^{2} + b^{2} - 2 a b \end{matrix}]$

$= [\begin{matrix} {(a + b)}^{2} & {(b + c)}^{2} \\ {(a - c)}^{2} & {(a - b)}^{2} \end{matrix}]$

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Algebraic Operations on Matrices - Addition of Matrices

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Q 2.2 Q 2.1 Q 2.3

Chapter 3: Matrices - Exercise 3.2 [Page 80]

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NCERT Mathematics [English] Class 12

Chapter 3 Matrices
Exercise 3.2 | Q 2.2 | Page 80

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Compute the following: [a2+b2b2+c2a2+c2a2+b2]+[2ab2bc-2ac-2ab] - Mathematics

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