Unformatted text preview: u , v ∈ R m . • The inverse matrix and the identity matrix. • If V is a subspace of R n then dim( V ) ≤ n . • If A ∈ R m × n then rank( A ) ≤ min( m,n ) and dim( N ( A )) = nrank( A ) . Matlab: You should understand the following: • Deﬁning row vs. column vectors, transpose of vectors or matrices. • Colon notation for subarrays of a matrix, e.g. A(:,j) is the j th column and A(2:4,:) is a 3 × n matrix consisting of rows 2,3,4 of A ∈ R m × n . • The diﬀerence between * and .* for vector or matrix multiplication. • How to read a simple Matlab program involving for loops and interpret the results of a program. • I will not ask you to write a Matlab program, but you should be able to read a simple one. 1...
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 Winter '07
 Leveque
 Linear Algebra, Vector Space, scalar multiplication, real linear space

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