2. Prove that: k(4+ mB) - kA+(km) B for any mx n matrices A and B, and scalars k and m. (You may not use any properties of matrix addition or scalar multiplication.)
2. Prove that: k(4+ mB) - kA+(km) B for any mx n matrices A and B, and scalars k and m. (You may not use any properties of matrix addition or scalar multiplication.)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 83E
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![2. Prove that: k(A+ mB) - kA +(km) B for any mx n matrices A and B, and scalars k and m.
(You may not use any properties of matrix addition or scalar multiplication.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F995f038d-338a-444f-bf65-aeaff2c877ea%2F13e7eae2-da54-4bd4-ba7b-06b8f99f1088%2Fp00va1n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Prove that: k(A+ mB) - kA +(km) B for any mx n matrices A and B, and scalars k and m.
(You may not use any properties of matrix addition or scalar multiplication.)
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