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hwB08 - Ax where x = £ 2 5-1 T(ii The transformation B R 3...

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ENEE 241 02* HOMEWORK ASSIGNMENT 8 Due Mon 02/18 (i) (10 pts.) It is known that A 1 - 1 0 = - 4 - 5 - 6 , A 2 1 0 = 1 - 4 0 and A - 2 - 1 2 = 7 6 2 Determine the matrix A . (ii) (10 pts.) Without using your calculator , determine θ so that the product of the five matrices shown below equals the identity matrix. Explain your answer clearly. 3 / 2 - 1 / 2 1 / 2 3 / 2 ‚ • 0 - 1 1 0 ‚ • cos θ - sin θ sin θ cos θ ‚ • 1 / 2 - 3 / 2 3 / 2 1 / 2 ‚ • 2 / 2 - 2 / 2 2 / 2 2 / 2 Solved Examples S 8.1 ( P 2.5 in textbook). The transformation A : R 3 7→ R 3 is such that A 1 0 0 = 4 - 1 2 , A 0 1 0 = - 2 3 - 1 , A 0 0 1 = 1 0 3 Write out the matrix
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Unformatted text preview: Ax , where x = £ 2 5-1 / T (ii) The transformation B : R 3 7→ R 2 is such that B 1 = • 2-4 ‚ , B 1 1 = • 3-2 ‚ , B 1 1 1 = •-2 1 ‚ Determine the matrix B . S 8.2 . ( P 2.6 in textbook). Compute by hand the matrix product AB in the following cases: A = 2-1 3-2 1 5 , B = •-2-3 3 4 0 7 ‚ ; A = 2 0 0-2 4 0 3-5 1 , B = 2-2 3 4-5 1...
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