yoyoyo4229 yoyoyo4229
  • 17-04-2019
  • Mathematics
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Determine if the product CA is defined. If the product is defined, state its dimensions. Do not calculate the product.

Determine if the product CA is defined If the product is defined state its dimensions Do not calculate the product class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 27-04-2019

ANSWER

The multiplication, CA is defined, and its dimension is 3×2

EXPLANATION

Matrix A is a 2x3 matrix.

Matrix C is a 3×2 matrix.

The product of the two matrices , CA, is defined if and only if the inner product of their dimension are the same.

[tex]CA = (2 \times 3)(3 \times 2)[/tex]

The inner products are the same.

Hence the matrix multiplication, CA is defined and its dimension is the outer products.

[tex]2 \times 2[/tex]

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