Lecture Notes For Linear Algebra Gilbert Strang Link File

The Magic of Gil Strang: Why These Linear Algebra Notes Are the Only Ones You Need

x1[a11a21]+x2[a12a22]=[b1b2]x sub 1 the 2 by 1 column matrix; a sub 11, a sub 21 end-matrix; plus x sub 2 the 2 by 1 column matrix; a sub 12, a sub 22 end-matrix; equals the 2 by 1 column matrix; b sub 1, b sub 2 end-matrix; lecture notes for linear algebra gilbert strang

Do not just memorize the formulas. Draw the vectors, project them onto lines, and sketch the orthogonal intersections of the four subspaces. The Magic of Gil Strang: Why These Linear