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Year 1
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Term 1
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M1 Linear Algebra I
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Theorems
Folder: Year-1/Term-1/M1---Linear-Algebra-I/Theorems
11 items under this folder.
Feb 20, 2026
01 - General Commutative Matrix
linear-algebra
linear-algebra-1
Feb 20, 2026
02 - Existence of RRE Form
linear-algebra
linear-algebra-1
Feb 20, 2026
03 - Uniqueness of RRE Form
linear-algebra
linear-algebra-1
Feb 20, 2026
04 - Steinitz Exchange Lemma
linear-algebra
linear-algebra-1
Feb 20, 2026
05 - Size Inequality for Independent vs Spanning Sets
Feb 20, 2026
06 - Dimension Formula
linear-algebra
linear-algebra-1
Feb 20, 2026
07 - Rank-Nullity Theorem
linear-algebra
linear-algebra-1
Feb 20, 2026
08 - Matrix Representation of a Composition of Linear Maps
linear-algebra
linear-algebra-1
Feb 20, 2026
09 - Change of Basis Theorem
linear-algebra
linear-algebra-1
Feb 20, 2026
10 - Column Rank equals Row Rank
linear-algebra
linear-algebra-1
Feb 20, 2026
11 - Row Rank Criterion on Product of Matrices