The viewers need to keep in mind that the first part of the equation is composing and the second part is decomposing. The second picture shows the initial matirx and the third pictures shows the reduced matrix. The viewers need to pay speacial attention to which category goes with which and to make sure they multiply the factors correctly. The viewers need to make sure that if the variable is not there, they need to put a zero in its place, because later on when we cancel the variable, we need to know what the remainders are to put it in the new equation. To check if your answer is correct, you can plug it in your calcultor by using "rref" and if the numbers match from your original equation, then you did it correctly. Also, make sure you group them correctly and a tip for that is using different colors to make sure you get everyone you need.
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