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The sizes of two matrices A and B are given. Find the sizes of the product AB and the product BA, whenever these products exist.A=1*1, and B=1*3

User Anupam X
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1 Answer

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17 votes

Answer:

product AB has dimension of 1 * 3

product BA does not exist

Step-by-step explanation:

Given the matrices

A = 1 * 1 (one row and one column)

B = 1 * 3 (one row and three column)

If the product of the martrices AB is taken, then size of the product will be 1*3

For the product BA

BA = 1*3 * 1 * 1

Since the size of column of first matrix is diffrent from the row of matrix B, then the products doesn't exist

The sizes of two matrices A and B are given. Find the sizes of the product AB and-example-1
User Cmancre
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