possible for linear system to have exactly 2 solutions? and

[Seimuna]

Is it possible for a linear system to have exactly 2 solution?
And what would be wrong with defining matrix multiplication for matrices of the same size by multiplying them entry-by-entry, as with addition and subtraction?

 

[Deleted member 4993]

Re: Help : Algebra Question

Is it possible for a linear system to have exactly 2 solution? ........Yes
And what would be wrong with defining matrix multiplication for matrices of the same size by multiplying them entry-by-entry, as with addition and subtraction? .......Do not quite understand the question. Matrices are sets of numbers that follow different rule for multiplication.

 

[Seimuna]

Re: Help : Algebra Question

i) possible? but i thought it suppose to be impossible, right?

ii) to define matrix multiplication for matrices(same size) = multiplying them entry-by-entry.
so, what would be wrong if we are using addtion and substraction instead of multiplication to define the matrix multiplication?

 

[Deleted member 4993]

Re: Help : Algebra Question

i) possible? but i thought it suppose to be impossible, right?

That depends on the definition of solution.

A linear independant system of two variables, have two solutions - solution for x[sub:1sgfwig2]1[/sub:1sgfwig2] and solution for x[sub:1sgfwig2]2[/sub:1sgfwig2]. However, it has one set of solutions (x[sub:1sgfwig2]1[/sub:1sgfwig2],x[sub:1sgfwig2]2[/sub:1sgfwig2]).

This depends on your textbook or your teacher - as long as you can truly defend your answer, it is correct.

ii) to define matrix multiplication for matrices(same size) = multiplying them entry-by-entry.
so, what would be wrong if we are using addtion and substraction instead of multiplication to define the matrix multiplication?

 

[Seimuna]

i) ok...thanks...
ii) i don't understand...means if is not "same size" then is correct ?