In this worksheet, we will practice using the matrix multiplication to determine the square and cube of a square matrix.

**Q1: **

Consider the matrix

Find .

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Find .

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**Q2: **

Given that the eigenvalues of the nondefective matrix are 1 and , find .

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**Q3: **

Find and .

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- B ,
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- D ,
- E ,

**Q4: **

Given that is a zero matrix, find .

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**Q5: **

Which of the following represents a matrix such that , yet and ?

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**Q6: **

Which of the following statements is true for all matrices and ?

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**Q7: **

For write as a multiple of .

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**Q8: **

Which of the following statements is true for all matrices and ?

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**Q9: **

Consider What is ?

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