Answer:
Matrix A is not invertible.
Step-by-step explanation:
Invertible matrix are those matrix which are square matrix or non singular matrix.
For any matrix to be invertible, matrix should be non singular i.e. det(x) 0.
But for the question given above we cannot find determinant of matrix A as it is not square matrix. so inverse of given matrix does not exist. so it is not possible to have non trival solutions.
Answer:
Constant of proportionality:
Equation:
Step-by-step explanation:
By definition, Direct proportion equations have the following form:
Where "k" is the Constant of proportionality.
In this case, let be "c" the the amount of caffeine consumed (in mg) from a glass of Diet Pepsi and "d" the number of ounces that was drank.
So, the equation that represents this relationship will have this form:
Then, the first step is to find the Constant of proportionality "k".
Knowing that:
We can substitute values into the equation:
Now, solving for "k", we get:
Therefore, we can write the following equation that represents that proportional relationship: