How to write a matrix algebra proof of the following statements:?

J

Jean

New member
1- If B is any n x n matrix, and Xo is a non trivial solution to the homogenous system of
equations BX = 0, then for every scalar t, X1 = tXo is also a solution to this system.
( "1" in X1 is a subscript)

2- Let B and C be n x m matrices. if B is row equivalent to C, then C is row equivalent to B.

I'm thankful for whichever statement you help me with.
 
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