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i dont understand this AT ALL.
First put all the answers to the systems into a matrix and then multiply by the inverse of the matrix given to you and multiply it by the answers and it should give what so it would be the answers times the inverse be careful not to do it the other way around because you will get the wrong answer :)
not at all. its complicated to me.
Your welcome :)
blah... why can I just take those systems of equations, put it augmented matrix, and use row operations to get the RREF ?!
first set up the matrix equation |dw:1439176350982:dw|
multiply both sides of the matrix equation by the inverse matrix |dw:1439176488240:dw|
notice how the inverse is on the left side of each multiplication |dw:1439176659454:dw|
by definition, a matrix multiplied with its inverse will result in the identity matrix I |dw:1439176690759:dw|
the identity matrix is basically a fancy form of "1" the identity matrix times any matrix is that same matrix I*X = X so the identity matrix goes away |dw:1439176806100:dw|
do you see how to finish up?
yes multiply the inverse with the 3x1 matrix
let me know what you get
ok will do. give me a sec.
i actually understood how you did it's simple now. i appreciate your help!