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Chapter 4: Q2. (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 matrix 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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Most popular questions from this chapter

For exercises 30-32, use the following information. The Cookie Cutter Bakery records each type of cookie sold at three of their branch stores. Two days of sales are shown in the spreadsheets below.

31. Find the sum of the two days鈥� sales expressed as a matrix.

For exercises 30-32, use the following information. The Cookie Cutter Bakery records each type of cookie sold at three of their branch stores. Two days of sales are shown in the spreadsheets below.

30. Write a matrix for each day鈥檚 sales.

Solve each system of equations.

3a+2b=275a-7b+c=5-2a+10b+5c=-29

Use matricesA, B, Cand Dto find the following.

A=57鈭�163鈭�9,鈥夆赌�B=835144,鈥夆赌�C=04鈭�257鈭�1,鈥夆赌�D=6290鈭�30

28. 3C-4A+B

Find each product, if possible.

[4鈭�1615鈭�8]鈰�[139鈭�6]
See all solutions

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