MIT Matrix Algebra

Question 1

What is the purpose of the elimination method for solving systems of equations?

Answer 1

Because it allows us to eliminate or get rid of one of the variables so we can solve a more simplified equation.

Question 2

If you want to do row operations on a matrix, where do you put the matrix by which you would like to multiply?

Answer 2

The matrix goes to the left of the original matrix

Question 3

If you want to do column operations on a matrix, where do you put the matrix by which to multipy?

Answer 3

To do column operations, you put the matrix by which to multiply to the right of the original matrix

Question 4

What is a permutation matrix?

Answer 4

A matrix that exchanges the rows or columns of a matrix.

It is a matrix that contains a single 1 and the rest 0s in each row of the matrix

Question 5

Can you exchange the order of matrices for multiplication??

Answer 5

No, matrix multiplication is not commutative.