Determine if{[1,1,1]T , [2,1,0]T} is a basis for the kernel of
1 -2 1
-1 2 -1
So, what I've tried is the following:Find the kernel of the given matrix. s*[2,1,0]T + t*[-1,0,1]T
So the spanning set for the kernel is {[2,1,0]^T, [-1,0,1]^T}
This spanning set is linearly independent, which will make it a basis for the kernel. But, I don't see how to determine if the original set is a basis.
1 -2 1
-1 2 -1
So, what I've tried is the following:Find the kernel of the given matrix. s*[2,1,0]T + t*[-1,0,1]T
So the spanning set for the kernel is {[2,1,0]^T, [-1,0,1]^T}
This spanning set is linearly independent, which will make it a basis for the kernel. But, I don't see how to determine if the original set is a basis.
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