Determine if the system has a nontrivial solution: |-5x, + 7x, +9x, =0 4-2x,+6x,%3D %3D 3D0

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A: Writing the vectors in Matrix form, we get the following matrix:

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Q: More details. Just need (d)

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A: Given statement, If A and B are n×n diagonalizable matrices, then A+B is also diagonalizable.

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