Intersection of two matrices
Is it possible to find out the intersection of two matrices if the matrices don't equal each other. Say, H = (1,2,3,4) which is a 2x2 matrix and K= (5,6,7,8) which is a 2x2 matrix. So what would HnK be? (where n= intersection)
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A 200 liter tank initially haves 100 liters of pure brine. Pure water is added at the rate of 2 L/min, and well-stirred mixture is drained at the rate of 1 L/min. How much brine remains when the tank is full? How concentrated is the remnant?
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A 200 liter tank initially haves 100 liters of pure brine. Pure water is added at the rate of 2 L/min, and well-stirred mixture is drained at a rate of 1 L/min. How much brine remains when the tank is full? How concentrated is the remnant?
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Assume that 3 divides n, and that 3 doesn't divide m. Prove that 3 doesn't divide n + m. (Suggest n=3k, n=3k+1, and n=3k+2 to satisfy all integers n for some integer k.)
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