Unformatted text preview: 0 0 0 0 0 0 0 0 . The ﬁrst and third columns of A are respectively a 1 = 2 131 and a 3 = 1 111 . a) Give the rank of the matrix A . [1] b) Give the dimension for each of the following subspaces row( A ), col( A ) and ker( A ). [3] c) Give a basis for each of the following subspaces row( A ), col( A ) and ker( A ). [3] 4. Let A and B be two rowequivalent matrices. Are the column spaces of the two matrices necessarily the [2] same? If not, give a counterexample. [ /21]...
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This note was uploaded on 08/24/2011 for the course ENGINEERIN 1122 taught by Professor Stadnik during the Spring '11 term at University of Ottawa.
 Spring '11
 STADNIK

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