Linear Equations and Matrices

[hkus10]

1) Is the matrix [upper row 3 0 and lower row 0 2] a linear combination of the matrices [upper row 1 0 and lower row 0 1] and [upper row 1 0 and lower row 0 0]? Justify your answer.

 

Is it I just have to add the two matrices to see if they are equal the matrix, [upper row 3 0 and lower row 0 2]?

 

2) Show that the linear system obtained by adding a multiple of an equation in (2) to another equation is equivalent to (2).

 

How to show that?

 

Thanks!

[Shadow]

As for 1), I confess I haven't watched the video myself, but this might help you.

 

I don't understand question 2), but that might just be a consequence of the fact that I know practically nothing of matrices. Just though I'd pitch in the video and hope it helps a bit.

[DrRocket]

1) Is the matrix [upper row 3 0 and lower row 0 2] a linear combination of the matrices [upper row 1 0 and lower row 0 1] and [upper row 1 0 and lower row 0 0]? Justify your answer.

 

Is it I just have to add the two matrices to see if they are equal the matrix, [upper row 3 0 and lower row 0 2]?

 

no

 

Go review what is meant by a generalinear combination.

 

Show that the linear system obtained by adding a multiple of an equation in (2) to another equation is equivalent to (2).

 

How to show that?

 

Thanks!

 

What is 2) ?

 

This doesn't make sense.