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Chapter 4: Q47. (page 181)

Determine whether each matrix product is defined. If so, state the dimensions of the product.

47. A4脳1路B2脳1

Short Answer

Expert verified

Matrix product of given matrices is not defined.

Step by step solution

01

- Write condition for matrix product to be defined.

For two matrices A and B, the product A路B is defined when number of columns of matrix A is equal to the number of rows of matrix B.

02

- Write dimensions of given matrices

Matrix A has 4 rows and 1 column and matrix B has 2 rows and 1 column.

03

- Check multiplication is defined or not

As, number of columns of matrix A is not equal to the number of rows of matrix B.

So multiplication is not defined.

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