Question
If a matrix A is 5 x9 and the product AB is 5 x6,what is the size of B?The size of B is
If a matrix A is 5 x9 and the product AB is 5 x6,what is the size of B? The size of B is
Answers
If a matrix $A$ is $5 \times 3$ and the product $A B$ is $5 \times 7,$ what is the size of $B ?$
In discussion of we need to find the dimensions off a B and B A For a product to exist. The number of columns off predecessors should be quite a number of rules. In successor, we are given with A S three cross five and be as five grass too. He also there'll be is five cross two and s three cross Fife. So here a number of columns and number off rules matches therefore dimensions off. Baby can be given by number off rules in a number of columns in be that is three close to here. If you're so number of columns in B does not match with number off rules in a therefore product is not possible.
Okay, We won't determine if the major cities can be multiplied with a being the first matrix beating. 2nd 1 on Ultimate. What are dimensions up? So if they could be multiplied the columns off the amount of columns in the first Matrix need to equal the amount of Rome in the 2nd 1 which they do here to the Commie multiply on resulting dimensions will be the rose from the first matrix on the columns from the 2nd 1 said it will be five x five, okay?
The discussion. We need to find their dimensions off the product A, B and B and we know that a product is possible only when number off columns in predecessor is equal to the number off rules and successor. So we are given with a as a metrics. Off for close three will be is a metrics off to cross five. They can also right here be semantics of too close fight and asymmetric Sof grows three so we can observe that number off columns in a do not a match with number of rows in B. Hence, product is not possible in this case. Similarly here number of columns in BS five. Number of rows in AIDS for hands the product is not possible.
Okay. We have two matrices A and B on. We won't see if they could be multiplied and what dimensions of them will be so they could be multiplied This for the first matrix. The second dimension have speak first dimension of the second matrix. So that's fine on. And the resulting matrix will be this at the front. And this is the back. So the matrix A B, we'll have the dimensions three times five, okay.
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