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Question 93397: ) Is it always possible using the elementary row operations for matrices to transform any square matrix into echelon form with all 1's along its main diagonal?
2) Can you take any two matrices and add them, subtract them and multiply them together?
3) Is it possible to divide two matrices?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Is it always possible using the elementary row operations for matrices to transform any square matrix into echelon form with all 1's along its main diagonal?
No. Singular matrices or matrices whose determinant = 0 cannot be reduced
to the unit matrix.
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2) Can you take any two matrices and add them, subtract them and multiply them together?
No. They must have the same rank (same # of rows and columns) to get added or
subtracted; them must share a dimention to be multiplied, i.e (3Xn)(n*b) can
be multiplied but (nx3)(bxn) can be multiplied only if b=3
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3) Is it possible to divide two matrices?
Yes A/B = B^-1*A
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Cheers,
Stan H.
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