mark each statement true or false. Explain your answer.
1) every matrix is row equivalent to a unique matrix in echolon form.
2) any system of n linear equation in n variables has at most n solution.
3) if a system of linear eq has two different solutions, its must have inf many solution
4) if a augmented matrix [a b] is transformation into [c d] by elementary row operation, then the eq Ax=b and cx=d have exactly the same solution sets.

Question

mark each statement true or false. Explain your answer.
1) every matrix is row equivalent to a unique matrix in echolon form.
2) any system of n linear equation in n variables has at most n solution.
3) if a system of linear eq has two different solutions, its must have inf many solution
4) if a augmented matrix [a b] is transformation into [c d] by elementary row operation, then the eq Ax=b and cx=d have exactly the same solution sets.

anonymous · Answer

this what i think:
1)  true 
2) false 
3) true 
4) false
i don't know how i should explains it