Lab_Exercise_2 - ICM MATH1300 Laboratory#2...

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ICM MATH1300 Laboratory #2 Exercises (Sections 1.3 & 1.4) Page 1 of 2 1. Let In each of the following cases, compute the given expression or briefly explain why the expression cannot be calculated: (a) AB (b) A + (c) B + 2 C T (d) AB - 2. Let 0 -1 1 1 2 0 2 1 -1 1 -1 0 1 -1 1 1 0 3 2 A B C D = = = = 0 -1 1 2 2 2 1 -1 1 -1 1 2 3 4 1 -2 A B C = = = B BA 0 2 3 1 0 0 (a) A(BC) (b) A(CB) (c) tr( CC T ) (d) tr( C+D ) 3. Consider the matrix 1 2 0 1 1 0 A = (a) Compute tr( AA T ) for the above matrix A 3 1 2 . (b) Use the definition of the identity matrix to verify that 1 -1 -1 1
ICM MATH1300 Laboratory #2 Exercises (Sections 1.3 & 1.4) Page 2 of 2 4. Let 1 0 -3 , 3 1 2 A = 1 2 0 4 B = and

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