Integers n for some integer
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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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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Let A be an nxm matrix, and let B be matrix obtained from A by scrambling the rows. Describe there exists a unique nxn permutation matrix P such that B=P*A.
Is ethylene ideal gas under such conditions? Describe. Describe the volume of the cylinder? Determine the pressure in the cylinder after 90% of the ethylene has been removed if the temperature is 25 degrees C?
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