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Determine whether the product of the matrices is defined in ea

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Determine whether the product of the matrices is defined in each case. If so, state the order of the product. AB, where $A = [a_{ij}]_{4 \times 3}, B = [b_{ij}]_{3 \times 2}$

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Determine whether the product of the matrices is defined in each case. If so, state the order of the product. AB, where

A = [a_{ij}]_{4 \times 3}, B = [b_{ij}]_{3 \times 2}

8 mins ago

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Text solutionVerified

A = [a_{ij}]_{4 \times 3}, B = [b_{ij}]_{3 \times 2}

The product of a

A

&

B

is defined as the number of column of

A

is equal to number of row of matrix

B .

Then order of matrix after product form is

4 \times 2.

Hence, the answer is

4 \times 2.

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Question Text	Determine whether the product of the matrices is defined in each case. If so, state the order of the product. AB, where $A = [a_{ij}]_{4 \times 3}, B = [b_{ij}]_{3 \times 2}$
Answer Type	Text solution:1
Upvotes	150