05 short tricks of linear algebra | dimension of symmetric matrix with trace zero
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05 short tricks of linear algebra | dimension of symmetric matrix with trace zero
Linear algebra Q.1) if M is 7×5 matrix of rank 3 and N is a 5×7 matrix of rank 5, then rank of (MN) is 5 2 3 1 Q.2) the dimension of any symmetric matrix A=〖[a_(ij ) ] 〗_(n×n) over R is (n(n+1))/2 (n(n-1))/2 (n(n+3))/2 (n(n-3))/2 Q.3) the dimension of any skew symmetric matrix A=〖[a_(ij ) ] 〗_(n×n) over R is (n(n-1))/2 (n(n-2))/2 (n ...
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