Given matrices:
A=[100−1]
B=[0110]
For matrix multiplication AB, each entry is computed as (row of A) × (column of B).
Top-left entry (row 1 of A × column 1 of B):
(1)(0)+(0)(1)
=0
Top-right entry (row 1 of A × column 2 of B):
(1)(1)+(0)(0)
=1
Bottom-left entry (row 2 of A × column 1 of B):
(0)(0)+(−1)(1)
=−1
Bottom-right entry (row 2 of A × column 2 of B):
(0)(1)+(−1)(0)
=0
Therefore:
AB=[0−110]