Final answer:
The question asks for the result of the matrix multiplication ST, which involves multiplying each element of matrix S's rows with the corresponding elements of matrix T's columns. However, due to a typo indicating an element '95' which is out of context, the full product matrix cannot be accurately calculated.
Step-by-step explanation:
When performing matrix multiplication, we multiply each element of the rows of the first matrix by the corresponding elements of the columns in the second matrix, and then add up the products to get the elements of the resulting matrix. Let's apply this to matrices S and T.
For the element in the first row and first column of the product ST, calculate (2)(-7) + (-3)(-6) = -14 + 18 = 4. For the element in the first row and second column, calculate (2)(-6) + (-3)(95) = -12 - 285 = -297. Repeat this process for the second row of S to get the second row of ST.
The resulting matrix from multiplying S by T is therefore:
[4 -297]
[(-35 - 24) (5)(95)+(2)(-6)]
To get the complete result, perform the remaining multiplications and additions:
- (5)(-7) + (-2)(-6) = -35 + 12 = -23
- (5)(95) + (-2)(-6) is not a valid multiplicaion as 95 is not a valid element in the second matrix T.
It appears there has been a typo in the question which prevents us from finding the full answer to the matrix multiplication ST. With the current elements provided, the final result cannot be determined.