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

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Chapter2: Second-order Linear Odes
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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.
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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