Find a spanning set for the kernel (nullspace) of the mapping f (x, y, z)=(3 x+3y-z-9-12 y + 17 z. -x-2y + 5z). Note: Separate your vectors with commas, for example 2 0·0 ker (f) = Span{

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On the first day of January you receive a check for $1. On eachthird day thereafter, you receive a check for 3 times the previous check.a) How much if the check you receive on the last day of January?b) What is the total of the checks you received in January?c) What is the total of the check you received by the end of the 100thday of the year?