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If A is a 2x2 matrix and B is a 2x1 matrix, what is the dimension of AB?

Sagot :

Answer:

2x2 matrix

Step-by-step explanation:

Given

Dimension of matrices A = 2x2 matrix

Dimension of matrices B = 2x1 matrix

The dimension of matrix AB can be gotten by cancelling the row of matrices 1 and column of matrices 2.

After cancelling both row and column, the remaining dimension will be 2x2 matrix. Hence the dimension of AB is 2x2 matrix