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Chapter 4: Q1. (page 171)

Determine whether the following statement is always, sometimes, or never true. Explain your reasoning.

For any matrixAm脳nform鈮�n, A2is defined.

Short Answer

Expert verified

The provided statement will never be true.

Step by step solution

01

Step 1- Consider any values of m and n

Consider m as 1 and n as 2.

02

– Write the matrices with dimensions

Split the matrix . A2

A1脳2鈰�A1脳2

As the inner dimensions are not the same which means that the matrixA2 will not be defined.

03

Step 3- Write the conclusion

The provided statement will never be true due to same matrix and different count of row and columns.

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