Dadas las matrices:
Calcule si es posible:
a) C.B.A
b) DET(C)*DET(A)*B
c) C*B+B*A
d)Compruebe todas sus respuestas en Geogebra
Adjuntos:
![](https://es-static.z-dn.net/files/dfb/d34f576aa11b3b6f606a7f18ce8c449e.jpg)
Respuestas
Respuesta dada por:
2
Dadas las matrices:
Calcule si es posible:
a) C.B.A
![\begin{pmatrix}1&4&3\\ \:\:\:4&1&-2\\ \:\:\:6&-2&0\end{pmatrix}\cdot \begin{pmatrix}4&-2\\ \:5&0\\ \:4&2\end{pmatrix}\cdot \begin{pmatrix}3&5\\ \:1&4\end{pmatrix} \begin{pmatrix}1&4&3\\ \:\:\:4&1&-2\\ \:\:\:6&-2&0\end{pmatrix}\cdot \begin{pmatrix}4&-2\\ \:5&0\\ \:4&2\end{pmatrix}\cdot \begin{pmatrix}3&5\\ \:1&4\end{pmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bpmatrix%7D1%26amp%3B4%26amp%3B3%5C%5C+%5C%3A%5C%3A%5C%3A4%26amp%3B1%26amp%3B-2%5C%5C+%5C%3A%5C%3A%5C%3A6%26amp%3B-2%26amp%3B0%5Cend%7Bpmatrix%7D%5Ccdot+%5Cbegin%7Bpmatrix%7D4%26amp%3B-2%5C%5C+%5C%3A5%26amp%3B0%5C%5C+%5C%3A4%26amp%3B2%5Cend%7Bpmatrix%7D%5Ccdot+%5Cbegin%7Bpmatrix%7D3%26amp%3B5%5C%5C+%5C%3A1%26amp%3B4%5Cend%7Bpmatrix%7D)
![=\begin{pmatrix}1\cdot \:4+4\cdot \:5+3\cdot \:4&1\cdot \left(-2\right)+4\cdot \:0+3\cdot \:2\\ 4\cdot \:4+1\cdot \:5+\left(-2\right)\cdot \:4&4\left(-2\right)+1\cdot \:0+\left(-2\right)\cdot \:2\\ 6\cdot \:4+\left(-2\right)\cdot \:5+0\cdot \:4&6\left(-2\right)+\left(-2\right)\cdot \:0+0\cdot \:2\end{pmatrix} =\begin{pmatrix}1\cdot \:4+4\cdot \:5+3\cdot \:4&1\cdot \left(-2\right)+4\cdot \:0+3\cdot \:2\\ 4\cdot \:4+1\cdot \:5+\left(-2\right)\cdot \:4&4\left(-2\right)+1\cdot \:0+\left(-2\right)\cdot \:2\\ 6\cdot \:4+\left(-2\right)\cdot \:5+0\cdot \:4&6\left(-2\right)+\left(-2\right)\cdot \:0+0\cdot \:2\end{pmatrix}](https://tex.z-dn.net/?f=%3D%5Cbegin%7Bpmatrix%7D1%5Ccdot+%5C%3A4%2B4%5Ccdot+%5C%3A5%2B3%5Ccdot+%5C%3A4%26amp%3B1%5Ccdot+%5Cleft%28-2%5Cright%29%2B4%5Ccdot+%5C%3A0%2B3%5Ccdot+%5C%3A2%5C%5C+4%5Ccdot+%5C%3A4%2B1%5Ccdot+%5C%3A5%2B%5Cleft%28-2%5Cright%29%5Ccdot+%5C%3A4%26amp%3B4%5Cleft%28-2%5Cright%29%2B1%5Ccdot+%5C%3A0%2B%5Cleft%28-2%5Cright%29%5Ccdot+%5C%3A2%5C%5C+6%5Ccdot+%5C%3A4%2B%5Cleft%28-2%5Cright%29%5Ccdot+%5C%3A5%2B0%5Ccdot+%5C%3A4%26amp%3B6%5Cleft%28-2%5Cright%29%2B%5Cleft%28-2%5Cright%29%5Ccdot+%5C%3A0%2B0%5Ccdot+%5C%3A2%5Cend%7Bpmatrix%7D)
![\begin{pmatrix}36&4\\ 13&-12\\ 14&-12\end{pmatrix}\begin{pmatrix}3&5\\ 1&4\end{pmatrix} \begin{pmatrix}36&4\\ 13&-12\\ 14&-12\end{pmatrix}\begin{pmatrix}3&5\\ 1&4\end{pmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bpmatrix%7D36%26amp%3B4%5C%5C+13%26amp%3B-12%5C%5C+14%26amp%3B-12%5Cend%7Bpmatrix%7D%5Cbegin%7Bpmatrix%7D3%26amp%3B5%5C%5C+1%26amp%3B4%5Cend%7Bpmatrix%7D)
![\begin{pmatrix}36\cdot \:3+4\cdot \:1&36\cdot \:5+4\cdot \:4\\ 13\cdot \:3+\left(-12\right)\cdot \:1&13\cdot \:5+\left(-12\right)\cdot \:4\\ 14\cdot \:3+\left(-12\right)\cdot \:1&14\cdot \:5+\left(-12\right)\cdot \:4\end{pmatrix} \begin{pmatrix}36\cdot \:3+4\cdot \:1&36\cdot \:5+4\cdot \:4\\ 13\cdot \:3+\left(-12\right)\cdot \:1&13\cdot \:5+\left(-12\right)\cdot \:4\\ 14\cdot \:3+\left(-12\right)\cdot \:1&14\cdot \:5+\left(-12\right)\cdot \:4\end{pmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bpmatrix%7D36%5Ccdot+%5C%3A3%2B4%5Ccdot+%5C%3A1%26amp%3B36%5Ccdot+%5C%3A5%2B4%5Ccdot+%5C%3A4%5C%5C+13%5Ccdot+%5C%3A3%2B%5Cleft%28-12%5Cright%29%5Ccdot+%5C%3A1%26amp%3B13%5Ccdot+%5C%3A5%2B%5Cleft%28-12%5Cright%29%5Ccdot+%5C%3A4%5C%5C+14%5Ccdot+%5C%3A3%2B%5Cleft%28-12%5Cright%29%5Ccdot+%5C%3A1%26amp%3B14%5Ccdot+%5C%3A5%2B%5Cleft%28-12%5Cright%29%5Ccdot+%5C%3A4%5Cend%7Bpmatrix%7D)
![\begin{pmatrix}112&196\\ 27&17\\ 30&22\end{pmatrix} \begin{pmatrix}112&196\\ 27&17\\ 30&22\end{pmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bpmatrix%7D112%26amp%3B196%5C%5C+27%26amp%3B17%5C%5C+30%26amp%3B22%5Cend%7Bpmatrix%7D)
b) DET(C)*DET(A)*B
![DET\begin{pmatrix}1&4&3\\ \:\:\:\:4&1&-2\\ \:\:\:\:6&-2&0\end{pmatrix}\cdot \:DET\begin{pmatrix}3&5\\ \:\:\:1&4\end{pmatrix}\cdot \begin{pmatrix}4&-2\\ \:\:5&0\\ \:\:4&2\end{pmatrix} DET\begin{pmatrix}1&4&3\\ \:\:\:\:4&1&-2\\ \:\:\:\:6&-2&0\end{pmatrix}\cdot \:DET\begin{pmatrix}3&5\\ \:\:\:1&4\end{pmatrix}\cdot \begin{pmatrix}4&-2\\ \:\:5&0\\ \:\:4&2\end{pmatrix}](https://tex.z-dn.net/?f=DET%5Cbegin%7Bpmatrix%7D1%26amp%3B4%26amp%3B3%5C%5C+%5C%3A%5C%3A%5C%3A%5C%3A4%26amp%3B1%26amp%3B-2%5C%5C+%5C%3A%5C%3A%5C%3A%5C%3A6%26amp%3B-2%26amp%3B0%5Cend%7Bpmatrix%7D%5Ccdot+%5C%3ADET%5Cbegin%7Bpmatrix%7D3%26amp%3B5%5C%5C+%5C%3A%5C%3A%5C%3A1%26amp%3B4%5Cend%7Bpmatrix%7D%5Ccdot+%5Cbegin%7Bpmatrix%7D4%26amp%3B-2%5C%5C+%5C%3A%5C%3A5%26amp%3B0%5C%5C+%5C%3A%5C%3A4%26amp%3B2%5Cend%7Bpmatrix%7D)
![=\det \begin{pmatrix}1&4&3\\ 4&1&-2\\ 6&-2&0\end{pmatrix} =\det \begin{pmatrix}1&4&3\\ 4&1&-2\\ 6&-2&0\end{pmatrix}](https://tex.z-dn.net/?f=%3D%5Cdet+%5Cbegin%7Bpmatrix%7D1%26amp%3B4%26amp%3B3%5C%5C+4%26amp%3B1%26amp%3B-2%5C%5C+6%26amp%3B-2%26amp%3B0%5Cend%7Bpmatrix%7D)
![=1\cdot \det \begin{pmatrix}1&-2\\ -2&0\end{pmatrix}-4\cdot \det \begin{pmatrix}4&-2\\ 6&0\end{pmatrix}+3\cdot \det \begin{pmatrix}4&1\\ 6&-2\end{pmatrix} =1\cdot \det \begin{pmatrix}1&-2\\ -2&0\end{pmatrix}-4\cdot \det \begin{pmatrix}4&-2\\ 6&0\end{pmatrix}+3\cdot \det \begin{pmatrix}4&1\\ 6&-2\end{pmatrix}](https://tex.z-dn.net/?f=%3D1%5Ccdot+%5Cdet+%5Cbegin%7Bpmatrix%7D1%26amp%3B-2%5C%5C+-2%26amp%3B0%5Cend%7Bpmatrix%7D-4%5Ccdot+%5Cdet+%5Cbegin%7Bpmatrix%7D4%26amp%3B-2%5C%5C+6%26amp%3B0%5Cend%7Bpmatrix%7D%2B3%5Ccdot+%5Cdet+%5Cbegin%7Bpmatrix%7D4%26amp%3B1%5C%5C+6%26amp%3B-2%5Cend%7Bpmatrix%7D)
![=1\cdot \left(-4\right)-4\cdot \:12+3\left(-14\right) =1\cdot \left(-4\right)-4\cdot \:12+3\left(-14\right)](https://tex.z-dn.net/?f=%3D1%5Ccdot+%5Cleft%28-4%5Cright%29-4%5Ccdot+%5C%3A12%2B3%5Cleft%28-14%5Cright%29)
![=\left(-94\right)\det \begin{pmatrix}3&5\\ 1&4\end{pmatrix}\begin{pmatrix}4&-2\\ 5&0\\ 4&2\end{pmatrix} =\left(-94\right)\det \begin{pmatrix}3&5\\ 1&4\end{pmatrix}\begin{pmatrix}4&-2\\ 5&0\\ 4&2\end{pmatrix}](https://tex.z-dn.net/?f=%3D%5Cleft%28-94%5Cright%29%5Cdet+%5Cbegin%7Bpmatrix%7D3%26amp%3B5%5C%5C+1%26amp%3B4%5Cend%7Bpmatrix%7D%5Cbegin%7Bpmatrix%7D4%26amp%3B-2%5C%5C+5%26amp%3B0%5C%5C+4%26amp%3B2%5Cend%7Bpmatrix%7D)
![=\left(-94\right)\cdot \:7\begin{pmatrix}4&-2\\ 5&0\\ 4&2\end{pmatrix} =\left(-94\right)\cdot \:7\begin{pmatrix}4&-2\\ 5&0\\ 4&2\end{pmatrix}](https://tex.z-dn.net/?f=%3D%5Cleft%28-94%5Cright%29%5Ccdot+%5C%3A7%5Cbegin%7Bpmatrix%7D4%26amp%3B-2%5C%5C+5%26amp%3B0%5C%5C+4%26amp%3B2%5Cend%7Bpmatrix%7D)
![=\begin{pmatrix}\left(-94\right)\cdot \:7\cdot \:4&\left(-94\right)\cdot \:7\left(-2\right)\\ \left(-94\right)\cdot \:7\cdot \:5&\left(-94\right)\cdot \:7\cdot \:0\\ \left(-94\right)\cdot \:7\cdot \:4&\left(-94\right)\cdot \:7\cdot \:2\end{pmatrix} =\begin{pmatrix}\left(-94\right)\cdot \:7\cdot \:4&\left(-94\right)\cdot \:7\left(-2\right)\\ \left(-94\right)\cdot \:7\cdot \:5&\left(-94\right)\cdot \:7\cdot \:0\\ \left(-94\right)\cdot \:7\cdot \:4&\left(-94\right)\cdot \:7\cdot \:2\end{pmatrix}](https://tex.z-dn.net/?f=%3D%5Cbegin%7Bpmatrix%7D%5Cleft%28-94%5Cright%29%5Ccdot+%5C%3A7%5Ccdot+%5C%3A4%26amp%3B%5Cleft%28-94%5Cright%29%5Ccdot+%5C%3A7%5Cleft%28-2%5Cright%29%5C%5C+%5Cleft%28-94%5Cright%29%5Ccdot+%5C%3A7%5Ccdot+%5C%3A5%26amp%3B%5Cleft%28-94%5Cright%29%5Ccdot+%5C%3A7%5Ccdot+%5C%3A0%5C%5C+%5Cleft%28-94%5Cright%29%5Ccdot+%5C%3A7%5Ccdot+%5C%3A4%26amp%3B%5Cleft%28-94%5Cright%29%5Ccdot+%5C%3A7%5Ccdot+%5C%3A2%5Cend%7Bpmatrix%7D)
![=\begin{pmatrix}-2632&1316\\ -3290&0\\ -2632&-1316\end{pmatrix} =\begin{pmatrix}-2632&1316\\ -3290&0\\ -2632&-1316\end{pmatrix}](https://tex.z-dn.net/?f=%3D%5Cbegin%7Bpmatrix%7D-2632%26amp%3B1316%5C%5C+-3290%26amp%3B0%5C%5C+-2632%26amp%3B-1316%5Cend%7Bpmatrix%7D)
c) C*B+B*A
![\begin{pmatrix}1&4&3\\ \:\:\:\:\:\:4&1&-2\\ \:\:\:\:\:\:6&-2&0\end{pmatrix}\cdot \begin{pmatrix}4&-2\\ \:\:\:\:5&0\\ \:\:\:\:4&2\end{pmatrix}+\begin{pmatrix}4&-2\\ \:\:\:\:5&0\\ \:\:\:\:4&2\end{pmatrix}\cdot \begin{pmatrix}3&5\\ \:\:\:\:\:1&4\end{pmatrix} \begin{pmatrix}1&4&3\\ \:\:\:\:\:\:4&1&-2\\ \:\:\:\:\:\:6&-2&0\end{pmatrix}\cdot \begin{pmatrix}4&-2\\ \:\:\:\:5&0\\ \:\:\:\:4&2\end{pmatrix}+\begin{pmatrix}4&-2\\ \:\:\:\:5&0\\ \:\:\:\:4&2\end{pmatrix}\cdot \begin{pmatrix}3&5\\ \:\:\:\:\:1&4\end{pmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bpmatrix%7D1%26amp%3B4%26amp%3B3%5C%5C+%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A4%26amp%3B1%26amp%3B-2%5C%5C+%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A6%26amp%3B-2%26amp%3B0%5Cend%7Bpmatrix%7D%5Ccdot+%5Cbegin%7Bpmatrix%7D4%26amp%3B-2%5C%5C+%5C%3A%5C%3A%5C%3A%5C%3A5%26amp%3B0%5C%5C+%5C%3A%5C%3A%5C%3A%5C%3A4%26amp%3B2%5Cend%7Bpmatrix%7D%2B%5Cbegin%7Bpmatrix%7D4%26amp%3B-2%5C%5C+%5C%3A%5C%3A%5C%3A%5C%3A5%26amp%3B0%5C%5C+%5C%3A%5C%3A%5C%3A%5C%3A4%26amp%3B2%5Cend%7Bpmatrix%7D%5Ccdot+%5Cbegin%7Bpmatrix%7D3%26amp%3B5%5C%5C+%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A1%26amp%3B4%5Cend%7Bpmatrix%7D)
![=\begin{pmatrix}1&4&3\\ 4&1&-2\\ 6&-2&0\end{pmatrix}\begin{pmatrix}4&-2\\ 5&0\\ 4&2\end{pmatrix}
=\begin{pmatrix}1&4&3\\ 4&1&-2\\ 6&-2&0\end{pmatrix}\begin{pmatrix}4&-2\\ 5&0\\ 4&2\end{pmatrix}](https://tex.z-dn.net/?f=%3D%5Cbegin%7Bpmatrix%7D1%26amp%3B4%26amp%3B3%5C%5C+4%26amp%3B1%26amp%3B-2%5C%5C+6%26amp%3B-2%26amp%3B0%5Cend%7Bpmatrix%7D%5Cbegin%7Bpmatrix%7D4%26amp%3B-2%5C%5C+5%26amp%3B0%5C%5C+4%26amp%3B2%5Cend%7Bpmatrix%7D%0A)
![=\begin{pmatrix}1\cdot \:4+4\cdot \:5+3\cdot \:4&1\cdot \left(-2\right)+4\cdot \:0+3\cdot \:2\\ 4\cdot \:4+1\cdot \:5+\left(-2\right)\cdot \:4&4\left(-2\right)+1\cdot \:0+\left(-2\right)\cdot \:2\\ 6\cdot \:4+\left(-2\right)\cdot \:5+0\cdot \:4&6\left(-2\right)+\left(-2\right)\cdot \:0+0\cdot \:2\end{pmatrix} =\begin{pmatrix}1\cdot \:4+4\cdot \:5+3\cdot \:4&1\cdot \left(-2\right)+4\cdot \:0+3\cdot \:2\\ 4\cdot \:4+1\cdot \:5+\left(-2\right)\cdot \:4&4\left(-2\right)+1\cdot \:0+\left(-2\right)\cdot \:2\\ 6\cdot \:4+\left(-2\right)\cdot \:5+0\cdot \:4&6\left(-2\right)+\left(-2\right)\cdot \:0+0\cdot \:2\end{pmatrix}](https://tex.z-dn.net/?f=%3D%5Cbegin%7Bpmatrix%7D1%5Ccdot+%5C%3A4%2B4%5Ccdot+%5C%3A5%2B3%5Ccdot+%5C%3A4%26amp%3B1%5Ccdot+%5Cleft%28-2%5Cright%29%2B4%5Ccdot+%5C%3A0%2B3%5Ccdot+%5C%3A2%5C%5C+4%5Ccdot+%5C%3A4%2B1%5Ccdot+%5C%3A5%2B%5Cleft%28-2%5Cright%29%5Ccdot+%5C%3A4%26amp%3B4%5Cleft%28-2%5Cright%29%2B1%5Ccdot+%5C%3A0%2B%5Cleft%28-2%5Cright%29%5Ccdot+%5C%3A2%5C%5C+6%5Ccdot+%5C%3A4%2B%5Cleft%28-2%5Cright%29%5Ccdot+%5C%3A5%2B0%5Ccdot+%5C%3A4%26amp%3B6%5Cleft%28-2%5Cright%29%2B%5Cleft%28-2%5Cright%29%5Ccdot+%5C%3A0%2B0%5Ccdot+%5C%3A2%5Cend%7Bpmatrix%7D)
![=\begin{pmatrix}36&4\\ 13&-12\\ 14&-12\end{pmatrix} =\begin{pmatrix}36&4\\ 13&-12\\ 14&-12\end{pmatrix}](https://tex.z-dn.net/?f=%3D%5Cbegin%7Bpmatrix%7D36%26amp%3B4%5C%5C+13%26amp%3B-12%5C%5C+14%26amp%3B-12%5Cend%7Bpmatrix%7D)
![=\begin{pmatrix}4&-2\\ 5&0\\ 4&2\end{pmatrix}\begin{pmatrix}3&5\\ 1&4\end{pmatrix} =\begin{pmatrix}4&-2\\ 5&0\\ 4&2\end{pmatrix}\begin{pmatrix}3&5\\ 1&4\end{pmatrix}](https://tex.z-dn.net/?f=%3D%5Cbegin%7Bpmatrix%7D4%26amp%3B-2%5C%5C+5%26amp%3B0%5C%5C+4%26amp%3B2%5Cend%7Bpmatrix%7D%5Cbegin%7Bpmatrix%7D3%26amp%3B5%5C%5C+1%26amp%3B4%5Cend%7Bpmatrix%7D)
![=\begin{pmatrix}4\cdot \:3+\left(-2\right)\cdot \:1&4\cdot \:5+\left(-2\right)\cdot \:4\\ 5\cdot \:3+0\cdot \:1&5\cdot \:5+0\cdot \:4\\ 4\cdot \:3+2\cdot \:1&4\cdot \:5+2\cdot \:4\end{pmatrix} =\begin{pmatrix}4\cdot \:3+\left(-2\right)\cdot \:1&4\cdot \:5+\left(-2\right)\cdot \:4\\ 5\cdot \:3+0\cdot \:1&5\cdot \:5+0\cdot \:4\\ 4\cdot \:3+2\cdot \:1&4\cdot \:5+2\cdot \:4\end{pmatrix}](https://tex.z-dn.net/?f=%3D%5Cbegin%7Bpmatrix%7D4%5Ccdot+%5C%3A3%2B%5Cleft%28-2%5Cright%29%5Ccdot+%5C%3A1%26amp%3B4%5Ccdot+%5C%3A5%2B%5Cleft%28-2%5Cright%29%5Ccdot+%5C%3A4%5C%5C+5%5Ccdot+%5C%3A3%2B0%5Ccdot+%5C%3A1%26amp%3B5%5Ccdot+%5C%3A5%2B0%5Ccdot+%5C%3A4%5C%5C+4%5Ccdot+%5C%3A3%2B2%5Ccdot+%5C%3A1%26amp%3B4%5Ccdot+%5C%3A5%2B2%5Ccdot+%5C%3A4%5Cend%7Bpmatrix%7D)
![\begin{pmatrix}10&12\\ 15&25\\ 14&28\end{pmatrix} \begin{pmatrix}10&12\\ 15&25\\ 14&28\end{pmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bpmatrix%7D10%26amp%3B12%5C%5C+15%26amp%3B25%5C%5C+14%26amp%3B28%5Cend%7Bpmatrix%7D)
![\begin{pmatrix}36&4\\ 13&-12\\ 14&-12\end{pmatrix}+\begin{pmatrix}10&12\\ 15&25\\ 14&28\end{pmatrix} \begin{pmatrix}36&4\\ 13&-12\\ 14&-12\end{pmatrix}+\begin{pmatrix}10&12\\ 15&25\\ 14&28\end{pmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bpmatrix%7D36%26amp%3B4%5C%5C+13%26amp%3B-12%5C%5C+14%26amp%3B-12%5Cend%7Bpmatrix%7D%2B%5Cbegin%7Bpmatrix%7D10%26amp%3B12%5C%5C+15%26amp%3B25%5C%5C+14%26amp%3B28%5Cend%7Bpmatrix%7D)
![\begin{pmatrix}36+10&4+12\\ 13+15&\left(-12\right)+25\\ 14+14&\left(-12\right)+28\end{pmatrix} \begin{pmatrix}36+10&4+12\\ 13+15&\left(-12\right)+25\\ 14+14&\left(-12\right)+28\end{pmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bpmatrix%7D36%2B10%26amp%3B4%2B12%5C%5C+13%2B15%26amp%3B%5Cleft%28-12%5Cright%29%2B25%5C%5C+14%2B14%26amp%3B%5Cleft%28-12%5Cright%29%2B28%5Cend%7Bpmatrix%7D)
![\begin{pmatrix}46&16\\ 28&13\\ 28&16\end{pmatrix} \begin{pmatrix}46&16\\ 28&13\\ 28&16\end{pmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bpmatrix%7D46%26amp%3B16%5C%5C+28%26amp%3B13%5C%5C+28%26amp%3B16%5Cend%7Bpmatrix%7D)
Calcule si es posible:
a) C.B.A
b) DET(C)*DET(A)*B
c) C*B+B*A
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