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Worksheet: Power of a Matrix
Q1:
Which of the following represents a matrix such that , yet and ?
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- E
Q2:
Consider the matrix
Find .
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Find .
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Q3:
Consider the matrices and . What is ?
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Q4:
Which of the following statements is true for all matrices and ?
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Q5:
For write as a multiple of .
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Q6:
Find and .
- A ,
- B ,
- C ,
- D ,
- E ,
Q7:
Given that is a zero matrix, find .
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Q8:
Which of the following statements is true for all matrices and ?
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Q9:
Given that the eigenvalues of the nondefective matrix are 1 and , find .
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