Question: Consider the question in the image given. Decide whether the matrix 5 3 9 C = 12 5 18 6 3 10 is diagonalizable over

Consider the question in the image given.

Decide whether the matrix 5 3 9 C = 12 5 18 6 3 10 is diagonalizable over R. If it is, diagonalize it. Otherwise, explain why it is not diagonalizable. You may use the fact that inc-(1:) = (:1: + 1)2{a: 2). Repeat Question 1 for each of the following matrices: (a) 3 1 3 A: 42 3 3 ,. pA($)=(m3)2($+4). 14 2 2 (b) 4 5 1 B: 2 3 1 , p3[3:)=(:1:2)[I2+1). 3 5 1

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