Let O denote the matrix . Find 2 × 2 matrices A and B such that , , and but .
Find 2 × 2 matrices A and B such that and , and
Let O denote the matrix
For example, let us choose the following two 2 x 2-matrices:
The first matrix has dimensions 2 × 2 and the second matrix has dimension 2 × 2.
Since the inner dimensions are equal, we can multiply the matrices. Moreover, the product should be a 2 × 2-matrix.
Multiply the rows of the first matrix with the columns of the second matrix (adding the products of the corresponding elements):
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