Question

Compute the following:
(i)$\left[\begin{array}{ccc}a&b\\-b&a\end{array}\right] + \left[\begin{array}{ccc}a&b\\b&a\end{array}\right]$
(ii)$\left[\begin{array}{ccc}a^2+b^2&b^2+c^2\\a^2+c^2&a^2+b^2\end{array}\right] + \left[\begin{array}{ccc}2ab&2bc\\-2ac&-2ab\end{array}\right]$
(iii)$\left[\begin{array}{ccc}-1&4&-6\\8&5&16\\2&8&5\end{array}\right]+ \left[\begin{array}{ccc}12&7&6\\8&0&5\\3&2&4\end{array}\right]$
(iv)$\left[\begin{array}{ccc}cos^2 x&sin^2 x\\sin^2 x&cos^2 x\end{array}\right]+\left[\begin{array}{ccc}sin^2 x&cos^2 x\\cos^2 x&sin^2 x\end{array}\right]$

Answer 1

i don't khown what did you say please say clear

Answer 2

Answer:

$(i)\left[\begin{array}{ccc}a&b\\-b&a\end{array}\right] + \left[\begin{array}{ccc}a&b\\b&a\end{array}\right]$

(ii)$\left[\begin{array}{ccc}a^2+b^2&b^2+c^2\\a^2+c^2&a^2+b^2\end{array}\right] + \left[\begin{array}{ccc}2ab&2bc\\-2ac&-2ab\end{array}\right]$

(iii)$\left[\begin{array}{ccc}-1&4&-6\\8&5&16\\2&8&5\end{array}\right]+ \left[\begin{array}{ccc}12&7&6\\8&0&5\\3&2&4\end{array}\right]$

(iv)$\left[\begin{array}{ccc}cos^2 x&sin^2 x\\sin^2 x&cos^2 x\end{array}\right]+\left[\begin{array}{ccc}sin^2 x&cos^2 x\\cos^2 x&sin^2 x\end{array}\right]$