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blaster
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There are 2 non-zero matrix A and B, and A*B=0.
another matrix C is a row equivalent to A.
is C*B=0 ?
another matrix C is a row equivalent to A.
is C*B=0 ?
When two non-zero matrices, A and B, have a product of 0, it means that the resulting matrix from multiplying A and B is a matrix of all zeros. This does not necessarily mean that A or B individually are equal to 0.
There are infinite possible values for A and B if A*B=0. As long as the elements of A and B are chosen in a way that results in a matrix of all zeros when multiplied together, any values can be used.
Yes, A and B can be square matrices if A*B=0. The dimensions of A and B do not need to match for their product to equal 0.
Yes, it is possible for either A or B to be the zero matrix if A*B=0. However, it is not necessary for either matrix to be zero for their product to equal 0.
If A and B are both non-zero matrices and their product is 0, it can indicate that there is a dependence or relationship between the two matrices. This could be useful in solving systems of equations or understanding the behavior of a system.