1. Calculate the product A·B of the two matrices defined below:




















2. Calculate the product A·B of the two matrices defined below:




















3 - 5. Given the matrix A defined below, calculate A², A³ and Aⁿ, where n is a natural number.






















































6. Find the values of the real numbers a and b, if the matrices A and A² are defined below:





a=3,b=1


(a=3,b=1) or (a=-3,b=-1)


a=-3,b=-1


(a=3,b=1) or (a=3,b=-1)





7. Find all values of x, x∈[0 , 2¶] that satisfy the equality below:




















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