Linear algebra is the first kind of algebra that a student is introduced to.
We recognise linear equations because each term is either a constant or the product of a constant and a variable. Note that there are no squares or other powers, an no xy terms or anything like that. These equations can have one or more variables but we are limited to one variable per term.
Although the study of linear equations is extensive and can enter many dimensions, and can involve complex numbers (for example), I am mostly going to restrict myself to work that would be covered in high school (and the first year or so of college/university).
I had the privilege of being one of Graeme’s students in 2005. As a creatively minded individual I struggled greatly with Mathematics and was falling behind in my HSC studies. Under his careful and creative tutelage I began to truly understand Mathematics for the first time in my life. Graeme patiently taught me to master mathematical concepts in ways I could understand. In the week intensive I spent with him he taught me the entire HSC course, and I went on to receive a Band 6. I cannot recommend him highly enough.
Roxanne G (student, 2005)
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