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Solutions to Problem Sets 1. Three Questions at the End of the Preface. Gilbert Strang, Introduction to Linear Algebra, 6th Edition (2023) 1. When can lines of lengths r,s,t form a triangle? They must satisfy the strict triangle inequalities r < s+t s < r +t t < r +s If we allow equality, the triangle will have angles of 0,0 and 180 degrees.
The nine combinations c(2, 1) + d(0, 1) with c = 0, 1, 2 and d = 0, 1, 2 will lie on a. lattice. If we took all whole numbers c and d, the lattice would lie over the whole plane. = 2, d = 2. = 0, d = 2 c = 2, d = 0. = 0, d = 1. = 0, d = 0. The question is whether (a, b, c) is a combination x1u + x2v.
linear algebra class such as the one I have conducted fairly regularly at Portland State University. There is no assigned text. Students are free to choose their own sources of information.
Linear Algebra Problems in Lemma My friend Pavel Grinfeld at Drexel has sent me a collection of interesting problems -- mostly elementary but each one with a small twist.
FUNDAMENTALS OF LINEAR ALGEBRA James B. Carrell carrell@math.ubc.ca (July, 2005)
Problem Sets with Solutions. MIT OpenCourseWare is a web based publication of virtually all MIT course content. OCW is open and available to the world and is a permanent MIT activity.
Notes: The key exercises are 7 (or 11 or 12), 19–22, and 25. For brevity, the symbols R1, R2,…, stand for row 1 (or equation 1), row 2 (or equation 2), and so on. Additional notes are at the end of the section. 1.
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