Question

Determinantes. Dadas as matrizes $A= \left[\begin{array}{ccc}-1&3\\2&-8\\\end{array}\right] B= \left[\begin{array}{ccc}2&-1\\3&0\\\end{array}\right]$ DETERMINE
a)A+B
b)$A^{T}$
c)A.B
d)Det (A)
f)det(A+B)
G)(A-B)

Answer 1

Britiney,
Vou ajudar com 4

a)
          A + B
                $\left[\begin{array}{ccc}-1+2&3-1&\\2+3&-8+3&\\&&\end{array}\right] = \left[\begin{array}{ccc}1&2&\\5&-5&\\&&\end{array}\right]$

b)
               $A^T= \left[\begin{array}{ccc}-1&3&\\2&-8&\\&&\end{array}\right]$

c)
             Det(A) = (-1)(-8) - (2)(3) = 8 - 6 = 2

d)
            Det(A+B) = (1)(-5) - (5)(2) = 5 - 10 = - 5