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Strang’s course has ~34 lectures. Group them into 6 units. For each lecture, use this template: lecture notes for linear algebra gilbert strang
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When (Ax = b) has no solution, we solve (A^TA\hatx = A^Tb). This minimizes (|Ax - b|^2). The least squares solution is: [ \hatx = (A^TA)^-1A^T b ]