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2. (4 points) Consider the matrix given below: [2 4 0 −1 −2 2 1 2 k] (a) Provide a value of k that will result in the matrix having a rank equal to 1, or explain why this is not possible. (b) Provide a value of k that will result in the matrix having a rank equal to 2, or explain why this is not possible.

2. (4 points) Consider the matrix given below: [2 4 0 −1 −2 2 1 2 k] (a) Provide a value of k that will result in the matrix having a rank equal to 1, or explain why this is not possible. (b) Provide a value of k that will result in the matrix having a rank equal to 2, or explain why this is not possible.

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  1. (4 points) Consider the matrix given below:
[ 2 4 0 − 1 − 2 2 1 2 k ]
(a) Provide a value of k that will result in the matrix having a rank equal to 1 , or explain why this is not possible. (b) Provide a value of k that will result in the matrix having a rank equal to 2, or explain why this is not possible.

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