Question

Das as matrizes a= [1 0] [-2 4] e b= [8 -2] [-5 1] .. calcule letra "a) B+B letra c) B+A letra c) A+A e letra d) A-B

Answer 1

a) $B + B = 2 \begin{bmatrix}8 & -2 \\ -5 & 1 \end{bmatrix} = \begin{bmatrix}16 & -4 \\ -10 & 2 \end{bmatrix}$

b) $B + A = \begin{bmatrix}8 & -2 \\ -5 & 1 \end{bmatrix} + \begin{bmatrix}1 & 0 \\ -2 & 4 \end{bmatrix} = \begin{bmatrix}9 & -2 \\ -7 & 5 \end{bmatrix}$

c) $A + A = 2 \begin{bmatrix}1 & 0 \\ -2 & 4 \end{bmatrix} = \begin{bmatrix}2 & 0 \\ -4 & 8 \end{bmatrix}$

d) $A - B= \begin{bmatrix}1 & 0 \\ -2 & 4 \end{bmatrix} - \begin{bmatrix}8 & -2 \\ -5 & 1 \end{bmatrix} = \begin{bmatrix}-7 & 2 \\ 3 & 3 \end{bmatrix}$