Let's learn about matrix multiplication with an example!
Imagine two matrices:
A = [2 1]
[-3 4]
B = [5 -2]
[1 0]
To multiply these (A x B), we can use a special formula:
For each element (Cij) in the resulting matrix (C):
- Select a row (i) in A and a column (j) in B.
- Multiply each element in the selected row of A by the corresponding element in the selected column of B.
- Sum up all those products.
That’s it! Siege is the result of this combination.
In our case, both matrices have dimensions 2x2, so n (number of columns in A) is equal to the number of rows in B. Now, let's enumerate each element in C:
C11 = (25) + (11) = 11
C12 = (2*-2) + (1*0) = -4
C21 = (-35) + (41) = -11
C22 = (-3*-2) + (4*0) = 6
Putting all this together, our resulting matrix (C) is:
C = [11 -4]
[-11 6]
Comments
Post a Comment