Properties of Matrix Addition
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- Commutative Property of Matrix Addition\textbf{Commutative Property of Matrix Addition}Commutative Property of Matrix Addition Remember the commutative property of addition? As …
By Caroline K, Alex Federspiel, Gabi Slizewska
- (Video) Properties of Matrix Addition by Anusha Rahman In this video by Anusha Rahman, you can learn about the Commutative Property of Matrix Addition and the Associative Proper…
By Anusha Rahman
- Properties of Matrix Addition There are a couple of different properties that we need to keep in mind when working with matrices and matrix equations. The Commutative Property o…
By Anusha Rahman
Problems 5
- Let mmm and nnn be positive integers, and let AAA, BBB, and CCC be m×nm \times nm×n matrices. Which of the following are true about matrix addition?
- If a matrix AAA is 3×53\times 53×5, what must the matrix OOO look like in order to get A+O=AA+O=AA+O=A?
- What would the matrix BBB look like if A+B=OA+B=OA+B=O?
- True or False\text{True or False}True or False === If AAA is a 2×22\times22×2 matrix and III is a 2×22\times22×2 identity matrix then A+I=AA+I=AA+I=A.
- True or False\text{True or False}True or False === A3×4+B4×3=B4×3+A3×4A_{3\times4}+B_{4\times3}=B_{4\times3}+A_{3\times4}A3×4+B4×3=B4×3+A3×4