MTH141 - Lab 10

# MTH141 - Lab 10 - Ryerson University Lab 10 MTH 141 1 4.2...

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Ryerson University Lab 10 - MTH 141 1. 4.2 Problem A1(e) Determine, with proof, if the following set is a subspace of the given vector space. {[ a 1 a 2 a 3 a 4 ] | a 1 a 4 - a 2 a 3 = 0 ,a 1 2 3 4 R } of M (2 , 2) 2. 4.2 Problem A2(a) Determine, with proof, whether the subset of diagonal matrices is a subspace of M ( n,n ) . 3. 4.3 Problem A1(a) Determine whether the following set is a basis for R 3 . 1 1 2 , 1 - 1 - 1 , 2 1 1 4. 4.3 Problem A8(b) Obtain a basis for the following vector space and determine the dimension S = {[ a b 0 c ] in M (2 , 2) | a,b,c R } 5. 4.4 Problem A4(a) i. Determine whether the given matrix A belongs to
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