Question 7933: Hi everyone, I have a few questions about matrices. I usually bounce these off a classmate, but he's no there this week. Thanks for any help you can provide.
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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?
Can you take any two matrices and add them, subtract them and multiply them together?
Is it possible to divide two matrices?
Answer by khwang(438)   (Show Source):
You can put this solution on YOUR website! 1)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?
Ans: No unless the given matrix is a square and invertible matrix.
[It seems that you even do know what is an identity matrix. It is
so sad. ]
2)Can you take any two matrices and add them, subtract them and multiply them together?
Sol: If the two matrices are exacly the same order then we can add them,
and subtract them.
Let matrice A be of order p x q and B be of s x t ,if q = s then
AB is well-defined otherwise the product is undefined.
3) Is it possible to divide two matrices?
Ans:
If A is of order m x n and B is of order n x n, also if B is invertible
then we can define A/B by AB^-1
Anyway, you have to work hard. Don't rely on other persons.
Knowledge is for your own benefit.
Kenny
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