If A is a 3 x3 matrix with distinct eigenvalues A,, A2,A3. Which of the following must be true: I. If a, b are eigenvectors corresponding to A1, then the set (a , b) is linearly dependent. II. If a, b...

If A is a 3 x3 matrix with distinct eigenvalues A,, A2,A3. Which of the following must be<br>true:<br>I. If a, b are eigenvectors corresponding to A1, then the set (a , b) is linearly dependent.<br>II. If a, b are eigenvectors corresponding to A1, A2 respectiv.ely, then the set (a , b) is linearly<br>independent.<br>III. det(A) 0<br>Select one:<br>a. I and II<br>b. I, II, and III<br>c. II and III<br>d. II<br>O O O<br>

Extracted text: If A is a 3 x3 matrix with distinct eigenvalues A,, A2,A3. Which of the following must be true: I. If a, b are eigenvectors corresponding to A1, then the set (a , b) is linearly dependent. II. If a, b are eigenvectors corresponding to A1, A2 respectiv.ely, then the set (a , b) is linearly independent. III. det(A) 0 Select one: a. I and II b. I, II, and III c. II and III d. II O O O

Jun 04, 2022

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If A is a 3 x3 matrix with distinct eigenvalues A,, A2,A3. Which of the following must be true: I. If a, b are eigenvectors corresponding to A1, then the set (a , b) is linearly dependent. II. If a, b...

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