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The Arithmetic of Matrices Part I
The Arithmetic of Matrices Part II
Linear Transformations of the Plane
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addition algebra angle answer applied arithmetic associative axis called carried changes Chapter characteristic column compute considered constant corresponding Cramer's Rule definition designated determinant diagonal direction elementary elements equal equation Example Expand expression fact FIGURE Find formula function geometrically give given Hence identity important inner product input integer interpretation inverse known linear mathematics matrix equation matrix multiplication means method object obtain operation ordinary origin output permutation plane positive PROBLEMS proof properties Prove quantities reflection represents result roots rotation Rule satisfy scalar sense sequence Show side signed simple solution Solve square subtraction Suppose symbol symmetric system of equations Take Theorem theory third tion transformation triangle true Type unit values variables vectors Verify write yields zero