Selected Problems — Matrix Algebra Math 2300
matrix and a skew-symmetric matrix that add to give 2A, the matrix A times the scalar 2. We fix the problem by multiplying both sides of (4) by 1/2. 1 2 [(A+AT)+(A−AT)] = 1 2 (2A) =⇒ 1 2 (A+AT)+ 1 2 (A−AT) = A since scalar multiplication distributes over matrix addition. Finally, we note that multiplying a symmetric matrix by a scalar ...
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