1)
A+B=
3A-2B=
4B-2A =
2)
A*B= ; B*A=
3)
A*B = ; B*A = ;
4)
A*B = ; B*A-умножить невозможно так как кол-во стобцов не совпадает с кол-вом строк
5)
A*B=
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Answers & Comments
1)
A+B=![\left[\begin{array}{ccc}2&3&1\\-4&5&12\\\end{array}\right] +\left[\begin{array}{ccc}4&1&-2\\3&4&4\\\end{array}\right]=\left[\begin{array}{ccc}6&4&-1\\-1&9&16\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%263%261%5C%5C-4%265%2612%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%261%26-2%5C%5C3%264%264%5C%5C%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6%264%26-1%5C%5C-1%269%2616%5C%5C%5Cend%7Barray%7D%5Cright%5D "\left[\begin{array}{ccc}2&3&1\\-4&5&12\\\end{array}\right] +\left[\begin{array}{ccc}4&1&-2\\3&4&4\\\end{array}\right]=\left[\begin{array}{ccc}6&4&-1\\-1&9&16\\\end{array}\right]")
3A-2B=![3*\left[\begin{array}{ccc}2&3&1\\-4&5&12\\\end{array}\right]+2*\left[\begin{array}{ccc}4&1&-2\\3&4&4\\\end{array}\right]=\left[\begin{array}{ccc}-2&7&7\\-18&7&28\\\end{array}\right]](https://tex.z-dn.net/?f=3%2A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%263%261%5C%5C-4%265%2612%5C%5C%5Cend%7Barray%7D%5Cright%5D%2B2%2A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%261%26-2%5C%5C3%264%264%5C%5C%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%267%267%5C%5C-18%267%2628%5C%5C%5Cend%7Barray%7D%5Cright%5D "3*\left[\begin{array}{ccc}2&3&1\\-4&5&12\\\end{array}\right]+2*\left[\begin{array}{ccc}4&1&-2\\3&4&4\\\end{array}\right]=\left[\begin{array}{ccc}-2&7&7\\-18&7&28\\\end{array}\right]")
4B-2A =![\\ 4*\left[\begin{array}{ccc}4&1&-2\\3&4&4\\\end{array}\right]-2*\left[\begin{array}{ccc}2&3&1\\-4&5&12\\\end{array}\right] = \left[\begin{array}{ccc}12&-2&10\\20&6&-8\\\end{array}\right]](https://tex.z-dn.net/?f=%5C%5C%204%2A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%261%26-2%5C%5C3%264%264%5C%5C%5Cend%7Barray%7D%5Cright%5D-2%2A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%263%261%5C%5C-4%265%2612%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D12%26-2%2610%5C%5C20%266%26-8%5C%5C%5Cend%7Barray%7D%5Cright%5D "\\ 4*\left[\begin{array}{ccc}4&1&-2\\3&4&4\\\end{array}\right]-2*\left[\begin{array}{ccc}2&3&1\\-4&5&12\\\end{array}\right] = \left[\begin{array}{ccc}12&-2&10\\20&6&-8\\\end{array}\right]")
2)
A*B=![\left[\begin{array}{cc}7&12&\\0&54&\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D7%2612%26%5C%5C0%2654%26%5Cend%7Barray%7D%5Cright%5D "\left[\begin{array}{cc}7&12&\\0&54&\end{array}\right]")
; B*A= ![\left[\begin{array}{ccc}2&14&15\\-8&10&24\\-14&23&49\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%2614%2615%5C%5C-8%2610%2624%5C%5C-14%2623%2649%5Cend%7Barray%7D%5Cright%5D "\left[\begin{array}{ccc}2&14&15\\-8&10&24\\-14&23&49\end{array}\right]")
3)
A*B =![\left[\begin{array}{ccc}13&10&12\\-7&-21&-10\\4&5&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D13%2610%2612%5C%5C-7%26-21%26-10%5C%5C4%265%263%5Cend%7Barray%7D%5Cright%5D "\left[\begin{array}{ccc}13&10&12\\-7&-21&-10\\4&5&3\end{array}\right]")
; B*A = ![\left[\begin{array}{ccc}6&0&7\\14&-5&18\\5&8&-6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6%260%267%5C%5C14%26-5%2618%5C%5C5%268%26-6%5Cend%7Barray%7D%5Cright%5D "\left[\begin{array}{ccc}6&0&7\\14&-5&18\\5&8&-6\end{array}\right]")
;
4)
A*B =![\left[\begin{array}{cc}22&32\\-4&-2\\13&24\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D22%2632%5C%5C-4%26-2%5C%5C13%2624%5Cend%7Barray%7D%5Cright%5D "\left[\begin{array}{cc}22&32\\-4&-2\\13&24\end{array}\right]")
; B*A-умножить невозможно так как кол-во стобцов не совпадает с кол-вом строк
5)
A*B=![\left[\begin{array}{c}-6&\\10&\\3&\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-6%26%5C%5C10%26%5C%5C3%26%5Cend%7Barray%7D%5Cright%5D "\left[\begin{array}{c}-6&\\10&\\3&\end{array}\right]")