X = 6 after distributing then adding 39 to both sides and then divide by 13
Answer:
See picture and explanation below.
Step-by-step explanation:
With this information, the matrix A that you can find is the transformation matrix of T. The matrix A is useful because T(x)=Av for all v in the domain of T.
A is defined as
denotes the vector of coordinates of
respect to the basis
(we can apply this definition because
forms a basis for the domain of T).
The vector of coordinates can be computed in the following way: if
then
.
Note that we have all the required information:
then
hence
The matrix A is on the picture attached, with the multiplication A(1,1,1).
Finally, to obtain the output required at the end, use the properties of a linear transformation and the outputs given:
In this last case, we can either use the linearity of T or multiply by A.
Step-by-step explanation:
x = -2 and x = -5
x + 2 = 0 and x + 5 = 0
(x + 2)(x + 5) = 0
x² + 5x + 2x + 10 = 0
x² + 7x + 10 = 0
Option → B