I having serious problems trying to solve this equation please help me
find the product matrix for this input-output and demand matrices
A= [ 0.1 0.03] D= [5]
[ 0.07 0.6] [10]
If you want AD, first check for rank compatibility
A is 2x2 and D is 2x1, so AD will be 2x1.
The solution is here:
http://www.wolframalpha.com/input/?i={{0.1%2C+0.03}%2C{0.07%2C+0.6}}*{{5}%2C{10}}+
To find the product matrix for the given input-output and demand matrices, you will need to perform matrix multiplication. Here are the steps to solve this equation:
Step 1: Write down the input-output matrix and the demand matrix:
A = [0.1 0.03]
[0.07 0.6]
D = [5]
[10]
Step 2: To perform matrix multiplication, the number of columns in the first matrix (A) must be equal to the number of rows in the second matrix (D). In this case, the number of columns in A is 2 and the number of rows in D is also 2, so they are compatible for multiplication.
Step 3: Multiply the corresponding elements from each row of the first matrix (A) with the corresponding elements from each column of the second matrix (D), and add the products:
For the first row of A:
(0.1 * 5) + (0.03 * 10) = 0.5 + 0.3 = 0.8
For the second row of A:
(0.07 * 5) + (0.6 * 10) = 0.35 + 6 = 6.35
So the product matrix (P) will be:
P = [0.8]
[6.35]
Therefore, the product matrix for the given input-output and demand matrices is:
P = [0.8]
[6.35]