Suppose A and B are 3×3 matrices. Which of the following must be true? (i) If C=AB, then C is a 3×3 matrix. (ii) If C=AB and D=BA, then C=D when A=B. (iii) If i
Suppose A and B are 3×3 matrices. Which of the following must be true? (i) If C=AB, then C is a 3×3 matrix. (ii) If C=AB and D=BA, then C=D when A=B. (iii) If i
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Suppose A and B are 3×3 matrices. Which of the
following must be true?
(i) If C=AB, then C is a 3×3 matrix.
(ii) If C=AB and D=BA, then C=D when A=B.
(iii) If x is a 3-D vector, then ABx is also a 3-D
vector.
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