I found [T]E to be: 2 2 4 8 0 0 -4 -12 0 0 2 6 0 0 0 0 but how can I find the kernel kerT? Appreciate any help!
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The kernel of a linear transformation is the solution of , or simply the set of vectors that T maps into 0. Can you find it now?
That much I knew... I'm just not seeing how to apply it to this problem. Is it the set of vectors that maps T[E] into 0? Thank you for replying.
Then use that definition! which gives the three equations 2u+ 2x+ 4y+ 8z= 0, -4y- 12z= 0, and 2y+ 6z= 0. What values of u, x, y, and z satisfy those equations?
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