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Matrix Algebra_1

# Matrix Algebra_1 - 1 2 3 4 Four men are wearing either a...

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Four men are wearing either a white hat or a black hat (2 of each). Each man can only look forward such that they can not see the color of the hat they are wearing nor the color hat(s) of anyone behind them. Three men are aligned on one side of a brick wall. The fourth man is on the other side of the wall. If a man knows what color hat he is wearing he needs to call it out. Which man should call out the color of his hat? 1 2 3 4

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a a b P P R 2 R 1 H 1 - - = - - - - - 0 0 0 0 0 0 0 0 1 0 0 0 ) sin( 0 0 0 0 0 0 0 0 1 ) cos( 0 0 0 0 0 0 0 0 0 0 ) sin( ) sin( 0 0 0 0 0 0 1 0 ) cos( ) cos( 0 1 0 0 0 0 0 ) sin( ) sin( 0 0 0 0 0 0 0 0 ) cos( ) cos( 0 1 0 0 0 0 0 0 0 0 ) sin( 0 0 ) sin( 0 0 0 0 0 0 ) cos( 1 0 ) cos( 0 1 0 0 0 0 0 0 0 ) sin( 0 0 1 0 0 0 0 0 1 ) cos( 2 1 1 25 24 45 35 34 15 13 P P R R H T T T T T T T θ θ θ θ θ θ θ θ θ θ θ θ θ θ θ θ Solving for Truss Forces is a problem in Linear Algebra and Matrix Math)
An Introduction to Matrix Algebra Part 1

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Matrix A matrix is an array of numbers Each element of the matrix is identified by a row and column position. 44 43 32 41 34 33 32 31 24 23 22 21 14 13 12 11 a a a a a a a a a a a a a a a a Row Column A 4x4 Matrix
Examples of Matrices 5 . 6 3 . 5 1 . 1 A 3x1 Matrix

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