Definition of inverse that a square matrix
Please prove directly from definition of inverse that a square matrix A is invertible if and only if it has full rank, without talking about the connection between determinants and inverses.
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Suggest the following all-integer linear program: Max 5x1 +8x2 s.t. 6x1 + 5x2 <30, 9x1+4x2<36,1x1+2x2<10, x1,x2 > 0 and integer.
A field E is said to be extension field of field F if there exists subfield F' of E such that F is isomorphic to F'. Prove that the field of complex numbers under complex addition and multiplication is an extension field of reals under ordinary a
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An apple pie in a 9.50 inch diameter plate is placed on the rotating tray. Then, the tray is rotated such that rim of the pie plate moves through a distance of 258 inches.
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