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Chapter 4: Q45. (page 173)

If C is a 5脳1matrix and D is a3脳5 matrix, what are the dimensions of DC?

A.5脳5

B.3脳1

C.1脳3

D. DC is not defined

Short Answer

Expert verified

The required option is C.

Step by step solution

01

Step 1- Determine the inner dimensions of both the matrices

The inner dimensions for both the provided matrices are represented by the numbers 5 and 5.

02

– Determine whether the product is defined or not

As the inner dimensions of provided matrices are the same which means that the product for the provided matrices is defined.

03

Step 3- Write the dimensions that defines the product

As the product is defined the dimensions that defines matrix is 3脳1.

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