Question

To solve the matrix equation AX=C, multiply both sides of the equation by the _________, which is also called _________, and is written as _______.

Answer 1

AX=C

you wanto solve X, so you multiply the inverse of A both sides

Answer 2

\(AX=C\)

\(A^{-1}AX=A^{-1}C\)

\(X=A^{-1}C\)

Answer 3

where,
A−1 is a product of elementary matrices

Answer 4

that makes sense! thank you guys @ganeshie8 & @hantenks but what words would i use to fill in the blanks?

Answer 5

would it be "multiply both sides of the equation by the INVERSE, which is also called ...?"

Answer 6

To solve the matrix equation AX=C, multiply both sides of the equation by the _________, which is also called _________, and is written as ___\(A^{-1}\)____.

Answer 7

other two blanks im not sure, just like you lol.

Answer 8

oh okay, thank you! you have helped so much and i cannot thank you enough! i really appreciate it, math is so hard for me to grasp especially since i dont have a teacher or textbook to refer to so i am very thankful to you! :)

Answer 9

you're wlcme :) i see you're ver good in math... u can learn on ur own im sure :)

Answer 10

thank you :) do you think it could possibly be "to solve the matrix equation AX=C, multiply both sides of the equation by the INVERSE, which is also called THE PRODUCT OF ELEMENTARY MATRICES, and is written as A-1" ? i just dont know if that sound remotely correct or not lol @hantenks

Answer 11

geez ..!! every invertible matrix can be written as a combi of elementary matrices..to solve the eqn. we simply perform row operations on A i.e multiply it by elementary matrices to obtain it in row reduced echeleon form.. then we solve it (gauss jordan elimination). i regret the fact i could not explain it to you properly .. actually in my college the net connection will go out in a few minutes so i was in a hurry.. lol

Answer 12

@ali1029

Answer 13

its okay thank you, i really appreciate it! :) @hantenks

Answer 14

so, im really sorry to be so annoying but would it be "multiply both sides of the equation by the elementary matrices which is also called the gauss jordan elimination? :o @hantenks

Answer 15

actually the procees is called gauss jordan elimination in which we convert the matrix in row reduced echeleon form( it contains mostly 1 and o's with some const.(maybe) subject to few rules
@ali1029