Question

Metodo de gauss
Dadas las matrices

Answer 1

Respuesta:

Dadas las matrices: $A=\left[\begin{array}{ccc}1&2\\-3&0\end{array}\right] , B=\left[\begin{array}{ccc}2&1\\-2&0\end{array}\right] , C=\left[\begin{array}{ccc}0&4\\1&0\end{array}\right] , D=\left[\begin{array}{ccc}3&0\\1&-2\end{array}\right]$

Hallar $x_{11}$ de la ecuación $2CX- (A^{T} +C)^{T} =-BX+DA+(X^{T}C^{T} )^{T}$

Explicación paso a paso:

$2CX-\left(A^T+C\right)^T:\quad 2CX-\left(A^T+C\right)^T$

$2CX-\left(A^T+C\right)^T$

$=2CX-\left(C+A^T\right)^T$

+

$-BX+DA+\left(X^TC^T\right)^T:\quad -BX+DA+X^{T^2}C^{T^2}$

$-BX+DA+\left(X^TC^T\right)^T$

$=-BX+DA+\left(X^T\right)^T\left(C^T\right)^T$

$=-BX+DA+X^{T^2}\left(C^T\right)^T$

$=-BX+DA+X^{T^2}\left(C^T\right)^T$

=

$-BX+DA+X^{T^2}\left(C^T\right)^T+2CX-\left(C+A^T\right)^T:\quad -BX+DA+X^{T^2}C^{T^2}+2CX-\left(C+A^T\right)^T$