variables in a matrix
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I was wondering if there might be a way to solve for variables in a matrix. I have the following matrix and need to find a, b, c, and d in the following matrix when it has a rank of 5.
M2=[-1 1 0 0 0 0 0 a b -2*a -2*b 3*a 3*b;
0 0 1 0 0 a b -a -b a b -a -b;
0 0 -1 0 0 -a -b a b -a -b a b;
0 0 0 -1 1 c d -c -d c d -c -d;
0 0 0 0 0 0 0 0 0 0 0 0 0];
回答（1 个）
Walter Roberson
2020-6-18
1 个投票
That matrix will never have rank 5 no matter what the values of the variables are.
The row of all zero at the bottom reduces the maximum row rank by 1, leaving the maximum row rank as 5-1 = 4, so the maximum rank of the matrix overall is at most 4.
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2020-6-18
2020-6-18
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