Let A be a 3x5 matrix, B a 5x2 matrix, C a 3x4 matrix, D a 4x2 matrix, and E a 4x5 matrix. Determine which of the following matrix expressions exist and give the size of the resulting matrices when they do exist. 1. AB 2. EB 3. AC 4. AB + CD 5. 3(EB) + 4D 6. CD - 2(CE)B 7. 2(EB) + DA
Let A be a 3x5 matrix, B a 5x2 matrix, C a 3x4 matrix, D a 4x2 matrix, and E a 4x5 matrix. Determine which of the following matrix expressions exist and give the size of the resulting matrices when they do exist. 1. AB 2. EB 3. AC 4. AB + CD 5. 3(EB) + 4D 6. CD - 2(CE)B 7. 2(EB) + DA
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 84E
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Let A be a 3x5 matrix, B a 5x2 matrix, C a 3x4 matrix, D a 4x2 matrix, and E a 4x5 matrix. Determine which of the following matrix expressions exist and give the size of the resulting matrices when they do exist.
1. AB
2. EB
3. AC
4. AB + CD
5. 3(EB) + 4D
6. CD - 2(CE)B
7. 2(EB) + DA
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